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Finding the Fourth Proportional to 7,568.52, 11,352.22 and 3,407.42

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Solution

The fourth proportional to 7,568.52, 11,352.22 and 3,407.42 is: 5,110.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,568.52 : 11,352.22 = 3,407.42 : x
  2. Step 2: Convert to fraction form
    7,568.52/11,352.22 = 3,407.42/x
  3. Step 3: Cross multiply
    7,568.52x = 11,352.22 × 3,407.42
  4. Step 4: Simplify right side
    7,568.52x = 38,681,781.47
  5. Step 5: Solve for x
    x = 38,681,781.47/7,568.52
  6. Step 6: Final answer
    x = 5,110.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.