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Finding the Fourth Proportional to 10,432.80, 15,633 and 6,731.91

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Solution

The fourth proportional to 10,432.80, 15,633 and 6,731.91 is: 10,087.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,432.80 : 15,633 = 6,731.91 : x
  2. Step 2: Convert to fraction form
    10,432.80/15,633 = 6,731.91/x
  3. Step 3: Cross multiply
    10,432.80x = 15,633 × 6,731.91
  4. Step 4: Simplify right side
    10,432.80x = 105,239,949.03
  5. Step 5: Solve for x
    x = 105,239,949.03/10,432.80
  6. Step 6: Final answer
    x = 10,087.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.