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Finding the Fourth Proportional to 7,342.70, 10,132.97 and 3,985.57

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Solution

The fourth proportional to 7,342.70, 10,132.97 and 3,985.57 is: 5,500.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,342.70 : 10,132.97 = 3,985.57 : x
  2. Step 2: Convert to fraction form
    7,342.70/10,132.97 = 3,985.57/x
  3. Step 3: Cross multiply
    7,342.70x = 10,132.97 × 3,985.57
  4. Step 4: Simplify right side
    7,342.70x = 40,385,661.24
  5. Step 5: Solve for x
    x = 40,385,661.24/7,342.70
  6. Step 6: Final answer
    x = 5,500.11

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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.