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Finding the Fourth Proportional to 10,974.93, 15,145.36 and 5,939.16

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Solution

The fourth proportional to 10,974.93, 15,145.36 and 5,939.16 is: 8,196.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,974.93 : 15,145.36 = 5,939.16 : x
  2. Step 2: Convert to fraction form
    10,974.93/15,145.36 = 5,939.16/x
  3. Step 3: Cross multiply
    10,974.93x = 15,145.36 × 5,939.16
  4. Step 4: Simplify right side
    10,974.93x = 89,950,716.30
  5. Step 5: Solve for x
    x = 89,950,716.30/10,974.93
  6. Step 6: Final answer
    x = 8,196.02

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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.