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Finding the Fourth Proportional to 10,772.28, 14,865.66 and 6,057

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Solution

The fourth proportional to 10,772.28, 14,865.66 and 6,057 is: 8,358.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,772.28 : 14,865.66 = 6,057 : x
  2. Step 2: Convert to fraction form
    10,772.28/14,865.66 = 6,057/x
  3. Step 3: Cross multiply
    10,772.28x = 14,865.66 × 6,057
  4. Step 4: Simplify right side
    10,772.28x = 90,041,302.62
  5. Step 5: Solve for x
    x = 90,041,302.62/10,772.28
  6. Step 6: Final answer
    x = 8,358.61

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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.