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Finding the Fourth Proportional to 8,082.56, 12,112.50 and 5,613.68

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Solution

The fourth proportional to 8,082.56, 12,112.50 and 5,613.68 is: 8,412.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,082.56 : 12,112.50 = 5,613.68 : x
  2. Step 2: Convert to fraction form
    8,082.56/12,112.50 = 5,613.68/x
  3. Step 3: Cross multiply
    8,082.56x = 12,112.50 × 5,613.68
  4. Step 4: Simplify right side
    8,082.56x = 67,995,699
  5. Step 5: Solve for x
    x = 67,995,699/8,082.56
  6. Step 6: Final answer
    x = 8,412.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.