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Finding the Fourth Proportional to 6,055.16, 9,082.68 and 1,613.27

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Solution

The fourth proportional to 6,055.16, 9,082.68 and 1,613.27 is: 2,419.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,055.16 : 9,082.68 = 1,613.27 : x
  2. Step 2: Convert to fraction form
    6,055.16/9,082.68 = 1,613.27/x
  3. Step 3: Cross multiply
    6,055.16x = 9,082.68 × 1,613.27
  4. Step 4: Simplify right side
    6,055.16x = 14,652,769.75
  5. Step 5: Solve for x
    x = 14,652,769.75/6,055.16
  6. Step 6: Final answer
    x = 2,419.88

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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.