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Finding the Fourth Proportional to 7,614.70, 11,422.05 and 5,524.90

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Solution

The fourth proportional to 7,614.70, 11,422.05 and 5,524.90 is: 8,287.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,614.70 : 11,422.05 = 5,524.90 : x
  2. Step 2: Convert to fraction form
    7,614.70/11,422.05 = 5,524.90/x
  3. Step 3: Cross multiply
    7,614.70x = 11,422.05 × 5,524.90
  4. Step 4: Simplify right side
    7,614.70x = 63,105,684.05
  5. Step 5: Solve for x
    x = 63,105,684.05/7,614.70
  6. Step 6: Final answer
    x = 8,287.35

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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.