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Finding the Fourth Proportional to 8,377.58, 12,538.69 and 8,082.33

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Solution

The fourth proportional to 8,377.58, 12,538.69 and 8,082.33 is: 12,096.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,377.58 : 12,538.69 = 8,082.33 : x
  2. Step 2: Convert to fraction form
    8,377.58/12,538.69 = 8,082.33/x
  3. Step 3: Cross multiply
    8,377.58x = 12,538.69 × 8,082.33
  4. Step 4: Simplify right side
    8,377.58x = 101,341,822.29
  5. Step 5: Solve for x
    x = 101,341,822.29/8,377.58
  6. Step 6: Final answer
    x = 12,096.79

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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.