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Finding the Fourth Proportional to 6,082.52, 9,124.98 and 2,134.16

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Solution

The fourth proportional to 6,082.52, 9,124.98 and 2,134.16 is: 3,201.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,082.52 : 9,124.98 = 2,134.16 : x
  2. Step 2: Convert to fraction form
    6,082.52/9,124.98 = 2,134.16/x
  3. Step 3: Cross multiply
    6,082.52x = 9,124.98 × 2,134.16
  4. Step 4: Simplify right side
    6,082.52x = 19,474,167.32
  5. Step 5: Solve for x
    x = 19,474,167.32/6,082.52
  6. Step 6: Final answer
    x = 3,201.66

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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.