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Finding the Fourth Proportional to 10,974.87, 15,145.28 and 5,939.10

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Solution

The fourth proportional to 10,974.87, 15,145.28 and 5,939.10 is: 8,195.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,974.87 : 15,145.28 = 5,939.10 : x
  2. Step 2: Convert to fraction form
    10,974.87/15,145.28 = 5,939.10/x
  3. Step 3: Cross multiply
    10,974.87x = 15,145.28 × 5,939.10
  4. Step 4: Simplify right side
    10,974.87x = 89,949,325.02
  5. Step 5: Solve for x
    x = 89,949,325.02/10,974.87
  6. Step 6: Final answer
    x = 8,195.94

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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.