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Finding the Fourth Proportional to 6,082.68, 9,123.98 and 4,111.65

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Solution

The fourth proportional to 6,082.68, 9,123.98 and 4,111.65 is: 6,167.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,082.68 : 9,123.98 = 4,111.65 : x
  2. Step 2: Convert to fraction form
    6,082.68/9,123.98 = 4,111.65/x
  3. Step 3: Cross multiply
    6,082.68x = 9,123.98 × 4,111.65
  4. Step 4: Simplify right side
    6,082.68x = 37,514,591.81
  5. Step 5: Solve for x
    x = 37,514,591.81/6,082.68
  6. Step 6: Final answer
    x = 6,167.44

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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.