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Finding the Fourth Proportional to 8,324,588.64, 11,487,978.41 and 4,653,659.94

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Solution

The fourth proportional to 8,324,588.64, 11,487,978.41 and 4,653,659.94 is: 6,422,076.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,324,588.64 : 11,487,978.41 = 4,653,659.94 : x
  2. Step 2: Convert to fraction form
    8,324,588.64/11,487,978.41 = 4,653,659.94/x
  3. Step 3: Cross multiply
    8,324,588.64x = 11,487,978.41 × 4,653,659.94
  4. Step 4: Simplify right side
    8,324,588.64x = 53,461,144,894,933.59
  5. Step 5: Solve for x
    x = 53,461,144,894,933.59/8,324,588.64
  6. Step 6: Final answer
    x = 6,422,076.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.