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Finding the Fourth Proportional to 8,242.68, 12,364.02 and 2,002.66

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Solution

The fourth proportional to 8,242.68, 12,364.02 and 2,002.66 is: 3,003.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,242.68 : 12,364.02 = 2,002.66 : x
  2. Step 2: Convert to fraction form
    8,242.68/12,364.02 = 2,002.66/x
  3. Step 3: Cross multiply
    8,242.68x = 12,364.02 × 2,002.66
  4. Step 4: Simplify right side
    8,242.68x = 24,760,928.29
  5. Step 5: Solve for x
    x = 24,760,928.29/8,242.68
  6. Step 6: Final answer
    x = 3,003.99

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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.