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Finding the Fourth Proportional to 10,126.65, 13,974.49 and 5,877.47

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Solution

The fourth proportional to 10,126.65, 13,974.49 and 5,877.47 is: 8,110.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,126.65 : 13,974.49 = 5,877.47 : x
  2. Step 2: Convert to fraction form
    10,126.65/13,974.49 = 5,877.47/x
  3. Step 3: Cross multiply
    10,126.65x = 13,974.49 × 5,877.47
  4. Step 4: Simplify right side
    10,126.65x = 82,134,546.48
  5. Step 5: Solve for x
    x = 82,134,546.48/10,126.65
  6. Step 6: Final answer
    x = 8,110.73

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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.