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Finding the Fourth Proportional to 7,691.52, 11,526.40 and 5,952

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Solution

The fourth proportional to 7,691.52, 11,526.40 and 5,952 is: 8,919.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,691.52 : 11,526.40 = 5,952 : x
  2. Step 2: Convert to fraction form
    7,691.52/11,526.40 = 5,952/x
  3. Step 3: Cross multiply
    7,691.52x = 11,526.40 × 5,952
  4. Step 4: Simplify right side
    7,691.52x = 68,605,132.80
  5. Step 5: Solve for x
    x = 68,605,132.80/7,691.52
  6. Step 6: Final answer
    x = 8,919.58

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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.