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Finding the Fourth Proportional to 10,925.46, 15,067.13 and 8,099.87

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Solution

The fourth proportional to 10,925.46, 15,067.13 and 8,099.87 is: 11,170.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,925.46 : 15,067.13 = 8,099.87 : x
  2. Step 2: Convert to fraction form
    10,925.46/15,067.13 = 8,099.87/x
  3. Step 3: Cross multiply
    10,925.46x = 15,067.13 × 8,099.87
  4. Step 4: Simplify right side
    10,925.46x = 122,041,678.44
  5. Step 5: Solve for x
    x = 122,041,678.44/10,925.46
  6. Step 6: Final answer
    x = 11,170.39

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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.