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Finding the Fourth Proportional to 7,691.36, 11,539.72 and 2,427.18

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Solution

The fourth proportional to 7,691.36, 11,539.72 and 2,427.18 is: 3,641.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,691.36 : 11,539.72 = 2,427.18 : x
  2. Step 2: Convert to fraction form
    7,691.36/11,539.72 = 2,427.18/x
  3. Step 3: Cross multiply
    7,691.36x = 11,539.72 × 2,427.18
  4. Step 4: Simplify right side
    7,691.36x = 28,008,971.52
  5. Step 5: Solve for x
    x = 28,008,971.52/7,691.36
  6. Step 6: Final answer
    x = 3,641.62

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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.