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Finding the Fourth Proportional to 7,131.92, 10,698.42 and 1,937.72

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Solution

The fourth proportional to 7,131.92, 10,698.42 and 1,937.72 is: 2,906.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,131.92 : 10,698.42 = 1,937.72 : x
  2. Step 2: Convert to fraction form
    7,131.92/10,698.42 = 1,937.72/x
  3. Step 3: Cross multiply
    7,131.92x = 10,698.42 × 1,937.72
  4. Step 4: Simplify right side
    7,131.92x = 20,730,542.40
  5. Step 5: Solve for x
    x = 20,730,542.40/7,131.92
  6. Step 6: Final answer
    x = 2,906.73

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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.