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Finding the Fourth Proportional to 7,631.91, 11,442.03 and 5,285.17

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Solution

The fourth proportional to 7,631.91, 11,442.03 and 5,285.17 is: 7,923.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,631.91 : 11,442.03 = 5,285.17 : x
  2. Step 2: Convert to fraction form
    7,631.91/11,442.03 = 5,285.17/x
  3. Step 3: Cross multiply
    7,631.91x = 11,442.03 × 5,285.17
  4. Step 4: Simplify right side
    7,631.91x = 60,473,073.70
  5. Step 5: Solve for x
    x = 60,473,073.70/7,631.91
  6. Step 6: Final answer
    x = 7,923.71

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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.