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Finding the Fourth Proportional to 7,687.28, 10,598.90 and 6,411.74

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Solution

The fourth proportional to 7,687.28, 10,598.90 and 6,411.74 is: 8,840.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,687.28 : 10,598.90 = 6,411.74 : x
  2. Step 2: Convert to fraction form
    7,687.28/10,598.90 = 6,411.74/x
  3. Step 3: Cross multiply
    7,687.28x = 10,598.90 × 6,411.74
  4. Step 4: Simplify right side
    7,687.28x = 67,957,306.03
  5. Step 5: Solve for x
    x = 67,957,306.03/7,687.28
  6. Step 6: Final answer
    x = 8,840.22

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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.