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Finding the Fourth Proportional to 8,426.38, 12,641.42 and 2,583.45

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Solution

The fourth proportional to 8,426.38, 12,641.42 and 2,583.45 is: 3,875.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,426.38 : 12,641.42 = 2,583.45 : x
  2. Step 2: Convert to fraction form
    8,426.38/12,641.42 = 2,583.45/x
  3. Step 3: Cross multiply
    8,426.38x = 12,641.42 × 2,583.45
  4. Step 4: Simplify right side
    8,426.38x = 32,658,476.50
  5. Step 5: Solve for x
    x = 32,658,476.50/8,426.38
  6. Step 6: Final answer
    x = 3,875.74

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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.