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Finding the Fourth Proportional to 7,884.24, 11,839.80 and 7,554

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Solution

The fourth proportional to 7,884.24, 11,839.80 and 7,554 is: 11,343.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,884.24 : 11,839.80 = 7,554 : x
  2. Step 2: Convert to fraction form
    7,884.24/11,839.80 = 7,554/x
  3. Step 3: Cross multiply
    7,884.24x = 11,839.80 × 7,554
  4. Step 4: Simplify right side
    7,884.24x = 89,437,849.20
  5. Step 5: Solve for x
    x = 89,437,849.20/7,884.24
  6. Step 6: Final answer
    x = 11,343.88

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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.