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Finding the Fourth Proportional to 8,649.64, 11,936.19 and 4,873.02

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Solution

The fourth proportional to 8,649.64, 11,936.19 and 4,873.02 is: 6,724.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,649.64 : 11,936.19 = 4,873.02 : x
  2. Step 2: Convert to fraction form
    8,649.64/11,936.19 = 4,873.02/x
  3. Step 3: Cross multiply
    8,649.64x = 11,936.19 × 4,873.02
  4. Step 4: Simplify right side
    8,649.64x = 58,165,292.59
  5. Step 5: Solve for x
    x = 58,165,292.59/8,649.64
  6. Step 6: Final answer
    x = 6,724.59

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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.