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Finding the Fourth Proportional to 6,082.38, 9,124.02 and 5,356.98

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Solution

The fourth proportional to 6,082.38, 9,124.02 and 5,356.98 is: 8,035.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,082.38 : 9,124.02 = 5,356.98 : x
  2. Step 2: Convert to fraction form
    6,082.38/9,124.02 = 5,356.98/x
  3. Step 3: Cross multiply
    6,082.38x = 9,124.02 × 5,356.98
  4. Step 4: Simplify right side
    6,082.38x = 48,877,192.66
  5. Step 5: Solve for x
    x = 48,877,192.66/6,082.38
  6. Step 6: Final answer
    x = 8,035.87

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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.