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Finding the Fourth Proportional to 7,342.91, 10,133.05 and 3,985.73

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Solution

The fourth proportional to 7,342.91, 10,133.05 and 3,985.73 is: 5,500.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,342.91 : 10,133.05 = 3,985.73 : x
  2. Step 2: Convert to fraction form
    7,342.91/10,133.05 = 3,985.73/x
  3. Step 3: Cross multiply
    7,342.91x = 10,133.05 × 3,985.73
  4. Step 4: Simplify right side
    7,342.91x = 40,387,601.38
  5. Step 5: Solve for x
    x = 40,387,601.38/7,342.91
  6. Step 6: Final answer
    x = 5,500.22

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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.