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Finding the Fourth Proportional to 10,896.57, 15,044.48 and 8,374

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Solution

The fourth proportional to 10,896.57, 15,044.48 and 8,374 is: 11,561.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,896.57 : 15,044.48 = 8,374 : x
  2. Step 2: Convert to fraction form
    10,896.57/15,044.48 = 8,374/x
  3. Step 3: Cross multiply
    10,896.57x = 15,044.48 × 8,374
  4. Step 4: Simplify right side
    10,896.57x = 125,982,475.52
  5. Step 5: Solve for x
    x = 125,982,475.52/10,896.57
  6. Step 6: Final answer
    x = 11,561.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.