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Finding the Fourth Proportional to 7,142.52, 10,720.69 and 3,447.35

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Solution

The fourth proportional to 7,142.52, 10,720.69 and 3,447.35 is: 5,174.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,142.52 : 10,720.69 = 3,447.35 : x
  2. Step 2: Convert to fraction form
    7,142.52/10,720.69 = 3,447.35/x
  3. Step 3: Cross multiply
    7,142.52x = 10,720.69 × 3,447.35
  4. Step 4: Simplify right side
    7,142.52x = 36,957,922.09
  5. Step 5: Solve for x
    x = 36,957,922.09/7,142.52
  6. Step 6: Final answer
    x = 5,174.36

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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.