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Finding the Fourth Proportional to 10,925.88, 15,087.24 and 8,563.92

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Solution

The fourth proportional to 10,925.88, 15,087.24 and 8,563.92 is: 11,825.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,925.88 : 15,087.24 = 8,563.92 : x
  2. Step 2: Convert to fraction form
    10,925.88/15,087.24 = 8,563.92/x
  3. Step 3: Cross multiply
    10,925.88x = 15,087.24 × 8,563.92
  4. Step 4: Simplify right side
    10,925.88x = 129,205,916.38
  5. Step 5: Solve for x
    x = 129,205,916.38/10,925.88
  6. Step 6: Final answer
    x = 11,825.68

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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.