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Finding the Fourth Proportional to 7,691.87, 11,537.78 and 2,427.37

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Solution

The fourth proportional to 7,691.87, 11,537.78 and 2,427.37 is: 3,641.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,691.87 : 11,537.78 = 2,427.37 : x
  2. Step 2: Convert to fraction form
    7,691.87/11,537.78 = 2,427.37/x
  3. Step 3: Cross multiply
    7,691.87x = 11,537.78 × 2,427.37
  4. Step 4: Simplify right side
    7,691.87x = 28,006,420.06
  5. Step 5: Solve for x
    x = 28,006,420.06/7,691.87
  6. Step 6: Final answer
    x = 3,641.04

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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.