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Finding the Fourth Proportional to 8,082.06, 12,111.75 and 5,613.18

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Solution

The fourth proportional to 8,082.06, 12,111.75 and 5,613.18 is: 8,411.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,082.06 : 12,111.75 = 5,613.18 : x
  2. Step 2: Convert to fraction form
    8,082.06/12,111.75 = 5,613.18/x
  3. Step 3: Cross multiply
    8,082.06x = 12,111.75 × 5,613.18
  4. Step 4: Simplify right side
    8,082.06x = 67,985,432.87
  5. Step 5: Solve for x
    x = 67,985,432.87/8,082.06
  6. Step 6: Final answer
    x = 8,411.89

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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.