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Finding the Fourth Proportional to 8,253.86, 12,384.44 and 3,333.12

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Solution

The fourth proportional to 8,253.86, 12,384.44 and 3,333.12 is: 5,001.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,253.86 : 12,384.44 = 3,333.12 : x
  2. Step 2: Convert to fraction form
    8,253.86/12,384.44 = 3,333.12/x
  3. Step 3: Cross multiply
    8,253.86x = 12,384.44 × 3,333.12
  4. Step 4: Simplify right side
    8,253.86x = 41,278,824.65
  5. Step 5: Solve for x
    x = 41,278,824.65/8,253.86
  6. Step 6: Final answer
    x = 5,001.15

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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.