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Finding the Fourth Proportional to 7,882.72, 11,824.08 and 7,488.55

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Solution

The fourth proportional to 7,882.72, 11,824.08 and 7,488.55 is: 11,232.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,882.72 : 11,824.08 = 7,488.55 : x
  2. Step 2: Convert to fraction form
    7,882.72/11,824.08 = 7,488.55/x
  3. Step 3: Cross multiply
    7,882.72x = 11,824.08 × 7,488.55
  4. Step 4: Simplify right side
    7,882.72x = 88,545,214.28
  5. Step 5: Solve for x
    x = 88,545,214.28/7,882.72
  6. Step 6: Final answer
    x = 11,232.83

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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.