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Finding the Fourth Proportional to 7,646.43, 11,470.05 and 2,452.44

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Solution

The fourth proportional to 7,646.43, 11,470.05 and 2,452.44 is: 3,678.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,646.43 : 11,470.05 = 2,452.44 : x
  2. Step 2: Convert to fraction form
    7,646.43/11,470.05 = 2,452.44/x
  3. Step 3: Cross multiply
    7,646.43x = 11,470.05 × 2,452.44
  4. Step 4: Simplify right side
    7,646.43x = 28,129,609.42
  5. Step 5: Solve for x
    x = 28,129,609.42/7,646.43
  6. Step 6: Final answer
    x = 3,678.79

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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.