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Finding the Fourth Proportional to 8,462.26, 12,701.59 and 4,082.79

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Solution

The fourth proportional to 8,462.26, 12,701.59 and 4,082.79 is: 6,128.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,462.26 : 12,701.59 = 4,082.79 : x
  2. Step 2: Convert to fraction form
    8,462.26/12,701.59 = 4,082.79/x
  3. Step 3: Cross multiply
    8,462.26x = 12,701.59 × 4,082.79
  4. Step 4: Simplify right side
    8,462.26x = 51,857,924.64
  5. Step 5: Solve for x
    x = 51,857,924.64/8,462.26
  6. Step 6: Final answer
    x = 6,128.14

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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.