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Finding the Fourth Proportional to 7,781.52, 11,672.28 and 5,165.76

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Solution

The fourth proportional to 7,781.52, 11,672.28 and 5,165.76 is: 7,748.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,781.52 : 11,672.28 = 5,165.76 : x
  2. Step 2: Convert to fraction form
    7,781.52/11,672.28 = 5,165.76/x
  3. Step 3: Cross multiply
    7,781.52x = 11,672.28 × 5,165.76
  4. Step 4: Simplify right side
    7,781.52x = 60,296,197.13
  5. Step 5: Solve for x
    x = 60,296,197.13/7,781.52
  6. Step 6: Final answer
    x = 7,748.64

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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.