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Finding the Fourth Proportional to 8,158.33, 12,237.51 and 2,002.33

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Solution

The fourth proportional to 8,158.33, 12,237.51 and 2,002.33 is: 3,003.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,158.33 : 12,237.51 = 2,002.33 : x
  2. Step 2: Convert to fraction form
    8,158.33/12,237.51 = 2,002.33/x
  3. Step 3: Cross multiply
    8,158.33x = 12,237.51 × 2,002.33
  4. Step 4: Simplify right side
    8,158.33x = 24,503,523.39
  5. Step 5: Solve for x
    x = 24,503,523.39/8,158.33
  6. Step 6: Final answer
    x = 3,003.50

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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.