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Finding the Fourth Proportional to 10,729.52, 14,807.16 and 6,013.76

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Solution

The fourth proportional to 10,729.52, 14,807.16 and 6,013.76 is: 8,299.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,729.52 : 14,807.16 = 6,013.76 : x
  2. Step 2: Convert to fraction form
    10,729.52/14,807.16 = 6,013.76/x
  3. Step 3: Cross multiply
    10,729.52x = 14,807.16 × 6,013.76
  4. Step 4: Simplify right side
    10,729.52x = 89,046,706.52
  5. Step 5: Solve for x
    x = 89,046,706.52/10,729.52
  6. Step 6: Final answer
    x = 8,299.23

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