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Finding the Fourth Proportional to 7,663.36, 11,498.24 and 6,691.20

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Solution

The fourth proportional to 7,663.36, 11,498.24 and 6,691.20 is: 10,039.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,663.36 : 11,498.24 = 6,691.20 : x
  2. Step 2: Convert to fraction form
    7,663.36/11,498.24 = 6,691.20/x
  3. Step 3: Cross multiply
    7,663.36x = 11,498.24 × 6,691.20
  4. Step 4: Simplify right side
    7,663.36x = 76,937,023.49
  5. Step 5: Solve for x
    x = 76,937,023.49/7,663.36
  6. Step 6: Final answer
    x = 10,039.59

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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.