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Finding the Fourth Proportional to 7,342.87, 10,132.89 and 3,985.62

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Solution

The fourth proportional to 7,342.87, 10,132.89 and 3,985.62 is: 5,500.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,342.87 : 10,132.89 = 3,985.62 : x
  2. Step 2: Convert to fraction form
    7,342.87/10,132.89 = 3,985.62/x
  3. Step 3: Cross multiply
    7,342.87x = 10,132.89 × 3,985.62
  4. Step 4: Simplify right side
    7,342.87x = 40,385,798.38
  5. Step 5: Solve for x
    x = 40,385,798.38/7,342.87
  6. Step 6: Final answer
    x = 5,500.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.