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Finding the Fourth Proportional to 7,638.71, 10,542.42 and 4,613.96

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Solution

The fourth proportional to 7,638.71, 10,542.42 and 4,613.96 is: 6,367.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,638.71 : 10,542.42 = 4,613.96 : x
  2. Step 2: Convert to fraction form
    7,638.71/10,542.42 = 4,613.96/x
  3. Step 3: Cross multiply
    7,638.71x = 10,542.42 × 4,613.96
  4. Step 4: Simplify right side
    7,638.71x = 48,642,330.54
  5. Step 5: Solve for x
    x = 48,642,330.54/7,638.71
  6. Step 6: Final answer
    x = 6,367.88

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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.