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Finding the Fourth Proportional to 8,462.66, 12,684.27 and 4,296.02

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Solution

The fourth proportional to 8,462.66, 12,684.27 and 4,296.02 is: 6,439.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,462.66 : 12,684.27 = 4,296.02 : x
  2. Step 2: Convert to fraction form
    8,462.66/12,684.27 = 4,296.02/x
  3. Step 3: Cross multiply
    8,462.66x = 12,684.27 × 4,296.02
  4. Step 4: Simplify right side
    8,462.66x = 54,491,877.61
  5. Step 5: Solve for x
    x = 54,491,877.61/8,462.66
  6. Step 6: Final answer
    x = 6,439.10

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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.