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Finding the Fourth Proportional to 8,359.88, 11,534.04 and 4,822.64

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Solution

The fourth proportional to 8,359.88, 11,534.04 and 4,822.64 is: 6,653.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,359.88 : 11,534.04 = 4,822.64 : x
  2. Step 2: Convert to fraction form
    8,359.88/11,534.04 = 4,822.64/x
  3. Step 3: Cross multiply
    8,359.88x = 11,534.04 × 4,822.64
  4. Step 4: Simplify right side
    8,359.88x = 55,624,522.67
  5. Step 5: Solve for x
    x = 55,624,522.67/8,359.88
  6. Step 6: Final answer
    x = 6,653.75

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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.