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Finding the Fourth Proportional to 7,082.12, 10,615.17 and 3,566.54

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Solution

The fourth proportional to 7,082.12, 10,615.17 and 3,566.54 is: 5,345.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,082.12 : 10,615.17 = 3,566.54 : x
  2. Step 2: Convert to fraction form
    7,082.12/10,615.17 = 3,566.54/x
  3. Step 3: Cross multiply
    7,082.12x = 10,615.17 × 3,566.54
  4. Step 4: Simplify right side
    7,082.12x = 37,859,428.41
  5. Step 5: Solve for x
    x = 37,859,428.41/7,082.12
  6. Step 6: Final answer
    x = 5,345.78

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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.