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Finding the Fourth Proportional to 8,426.38, 12,639.12 and 2,583.01

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Solution

The fourth proportional to 8,426.38, 12,639.12 and 2,583.01 is: 3,874.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,426.38 : 12,639.12 = 2,583.01 : x
  2. Step 2: Convert to fraction form
    8,426.38/12,639.12 = 2,583.01/x
  3. Step 3: Cross multiply
    8,426.38x = 12,639.12 × 2,583.01
  4. Step 4: Simplify right side
    8,426.38x = 32,646,973.35
  5. Step 5: Solve for x
    x = 32,646,973.35/8,426.38
  6. Step 6: Final answer
    x = 3,874.38

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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.