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Finding the Fourth Proportional to 8,623.81, 12,937.07 and 2,781.01

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Solution

The fourth proportional to 8,623.81, 12,937.07 and 2,781.01 is: 4,171.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,623.81 : 12,937.07 = 2,781.01 : x
  2. Step 2: Convert to fraction form
    8,623.81/12,937.07 = 2,781.01/x
  3. Step 3: Cross multiply
    8,623.81x = 12,937.07 × 2,781.01
  4. Step 4: Simplify right side
    8,623.81x = 35,978,121.04
  5. Step 5: Solve for x
    x = 35,978,121.04/8,623.81
  6. Step 6: Final answer
    x = 4,171.95

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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.