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Finding the Fourth Proportional to 8,233.69, 12,348.32 and 2,310.23

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Solution

The fourth proportional to 8,233.69, 12,348.32 and 2,310.23 is: 3,464.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,233.69 : 12,348.32 = 2,310.23 : x
  2. Step 2: Convert to fraction form
    8,233.69/12,348.32 = 2,310.23/x
  3. Step 3: Cross multiply
    8,233.69x = 12,348.32 × 2,310.23
  4. Step 4: Simplify right side
    8,233.69x = 28,527,447.76
  5. Step 5: Solve for x
    x = 28,527,447.76/8,233.69
  6. Step 6: Final answer
    x = 3,464.72

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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.