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Finding the Fourth Proportional to 6,902.17, 10,340.18 and 4,082.57

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Solution

The fourth proportional to 6,902.17, 10,340.18 and 4,082.57 is: 6,116.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,902.17 : 10,340.18 = 4,082.57 : x
  2. Step 2: Convert to fraction form
    6,902.17/10,340.18 = 4,082.57/x
  3. Step 3: Cross multiply
    6,902.17x = 10,340.18 × 4,082.57
  4. Step 4: Simplify right side
    6,902.17x = 42,214,508.66
  5. Step 5: Solve for x
    x = 42,214,508.66/6,902.17
  6. Step 6: Final answer
    x = 6,116.12

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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.