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Finding the Fourth Proportional to 7,537.52, 10,402.20 and 5,180.72

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Solution

The fourth proportional to 7,537.52, 10,402.20 and 5,180.72 is: 7,149.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,537.52 : 10,402.20 = 5,180.72 : x
  2. Step 2: Convert to fraction form
    7,537.52/10,402.20 = 5,180.72/x
  3. Step 3: Cross multiply
    7,537.52x = 10,402.20 × 5,180.72
  4. Step 4: Simplify right side
    7,537.52x = 53,890,885.58
  5. Step 5: Solve for x
    x = 53,890,885.58/7,537.52
  6. Step 6: Final answer
    x = 7,149.68

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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.