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Finding the Fourth Proportional to 8,462.64, 12,701.39 and 4,025.73

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Solution

The fourth proportional to 8,462.64, 12,701.39 and 4,025.73 is: 6,042.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,462.64 : 12,701.39 = 4,025.73 : x
  2. Step 2: Convert to fraction form
    8,462.64/12,701.39 = 4,025.73/x
  3. Step 3: Cross multiply
    8,462.64x = 12,701.39 × 4,025.73
  4. Step 4: Simplify right side
    8,462.64x = 51,132,366.76
  5. Step 5: Solve for x
    x = 51,132,366.76/8,462.64
  6. Step 6: Final answer
    x = 6,042.13

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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.