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Finding the Fourth Proportional to 7,691.10, 11,549.70 and 7,296.54

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Solution

The fourth proportional to 7,691.10, 11,549.70 and 7,296.54 is: 10,957.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,691.10 : 11,549.70 = 7,296.54 : x
  2. Step 2: Convert to fraction form
    7,691.10/11,549.70 = 7,296.54/x
  3. Step 3: Cross multiply
    7,691.10x = 11,549.70 × 7,296.54
  4. Step 4: Simplify right side
    7,691.10x = 84,272,848.04
  5. Step 5: Solve for x
    x = 84,272,848.04/7,691.10
  6. Step 6: Final answer
    x = 10,957.19

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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.