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Finding the Fourth Proportional to 8,268.50, 12,402.81 and 2,425.20

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Solution

The fourth proportional to 8,268.50, 12,402.81 and 2,425.20 is: 3,637.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,268.50 : 12,402.81 = 2,425.20 : x
  2. Step 2: Convert to fraction form
    8,268.50/12,402.81 = 2,425.20/x
  3. Step 3: Cross multiply
    8,268.50x = 12,402.81 × 2,425.20
  4. Step 4: Simplify right side
    8,268.50x = 30,079,294.81
  5. Step 5: Solve for x
    x = 30,079,294.81/8,268.50
  6. Step 6: Final answer
    x = 3,637.82

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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.