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Finding the Fourth Proportional to 10,407.33, 15,591.56 and 8,093.97

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Solution

The fourth proportional to 10,407.33, 15,591.56 and 8,093.97 is: 12,125.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,407.33 : 15,591.56 = 8,093.97 : x
  2. Step 2: Convert to fraction form
    10,407.33/15,591.56 = 8,093.97/x
  3. Step 3: Cross multiply
    10,407.33x = 15,591.56 × 8,093.97
  4. Step 4: Simplify right side
    10,407.33x = 126,197,578.42
  5. Step 5: Solve for x
    x = 126,197,578.42/10,407.33
  6. Step 6: Final answer
    x = 12,125.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.