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Finding the Fourth Proportional to 8,291.24, 12,436.90 and 3,677.48

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Solution

The fourth proportional to 8,291.24, 12,436.90 and 3,677.48 is: 5,516.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,291.24 : 12,436.90 = 3,677.48 : x
  2. Step 2: Convert to fraction form
    8,291.24/12,436.90 = 3,677.48/x
  3. Step 3: Cross multiply
    8,291.24x = 12,436.90 × 3,677.48
  4. Step 4: Simplify right side
    8,291.24x = 45,736,451.01
  5. Step 5: Solve for x
    x = 45,736,451.01/8,291.24
  6. Step 6: Final answer
    x = 5,516.24

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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.