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Finding the Fourth Proportional to 7,709.48, 11,542.68 and 5,068.88

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Solution

The fourth proportional to 7,709.48, 11,542.68 and 5,068.88 is: 7,589.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,709.48 : 11,542.68 = 5,068.88 : x
  2. Step 2: Convert to fraction form
    7,709.48/11,542.68 = 5,068.88/x
  3. Step 3: Cross multiply
    7,709.48x = 11,542.68 × 5,068.88
  4. Step 4: Simplify right side
    7,709.48x = 58,508,459.80
  5. Step 5: Solve for x
    x = 58,508,459.80/7,709.48
  6. Step 6: Final answer
    x = 7,589.16

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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.