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Finding the Fourth Proportional to 8,463.26, 12,686.65 and 3,534.31

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Solution

The fourth proportional to 8,463.26, 12,686.65 and 3,534.31 is: 5,298.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,463.26 : 12,686.65 = 3,534.31 : x
  2. Step 2: Convert to fraction form
    8,463.26/12,686.65 = 3,534.31/x
  3. Step 3: Cross multiply
    8,463.26x = 12,686.65 × 3,534.31
  4. Step 4: Simplify right side
    8,463.26x = 44,838,535.24
  5. Step 5: Solve for x
    x = 44,838,535.24/8,463.26
  6. Step 6: Final answer
    x = 5,298.02

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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.