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Finding the Fourth Proportional to 8,426.40, 12,641.68 and 3,808.16

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Solution

The fourth proportional to 8,426.40, 12,641.68 and 3,808.16 is: 5,713.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,426.40 : 12,641.68 = 3,808.16 : x
  2. Step 2: Convert to fraction form
    8,426.40/12,641.68 = 3,808.16/x
  3. Step 3: Cross multiply
    8,426.40x = 12,641.68 × 3,808.16
  4. Step 4: Simplify right side
    8,426.40x = 48,141,540.11
  5. Step 5: Solve for x
    x = 48,141,540.11/8,426.40
  6. Step 6: Final answer
    x = 5,713.18

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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.