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Finding the Fourth Proportional to 7,177.25, 10,765.92 and 1,983.17

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Solution

The fourth proportional to 7,177.25, 10,765.92 and 1,983.17 is: 2,974.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,177.25 : 10,765.92 = 1,983.17 : x
  2. Step 2: Convert to fraction form
    7,177.25/10,765.92 = 1,983.17/x
  3. Step 3: Cross multiply
    7,177.25x = 10,765.92 × 1,983.17
  4. Step 4: Simplify right side
    7,177.25x = 21,350,649.57
  5. Step 5: Solve for x
    x = 21,350,649.57/7,177.25
  6. Step 6: Final answer
    x = 2,974.77

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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.