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Finding the Fourth Proportional to 8,269.54, 11,407.17 and 5,437.42

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Solution

The fourth proportional to 8,269.54, 11,407.17 and 5,437.42 is: 7,500.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,269.54 : 11,407.17 = 5,437.42 : x
  2. Step 2: Convert to fraction form
    8,269.54/11,407.17 = 5,437.42/x
  3. Step 3: Cross multiply
    8,269.54x = 11,407.17 × 5,437.42
  4. Step 4: Simplify right side
    8,269.54x = 62,025,574.30
  5. Step 5: Solve for x
    x = 62,025,574.30/8,269.54
  6. Step 6: Final answer
    x = 7,500.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.