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Finding the Fourth Proportional to 10,772.30, 14,866.59 and 6,057.29

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Solution

The fourth proportional to 10,772.30, 14,866.59 and 6,057.29 is: 8,359.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,772.30 : 14,866.59 = 6,057.29 : x
  2. Step 2: Convert to fraction form
    10,772.30/14,866.59 = 6,057.29/x
  3. Step 3: Cross multiply
    10,772.30x = 14,866.59 × 6,057.29
  4. Step 4: Simplify right side
    10,772.30x = 90,051,172.61
  5. Step 5: Solve for x
    x = 90,051,172.61/10,772.30
  6. Step 6: Final answer
    x = 8,359.52

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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.