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Finding the Fourth Proportional to 8,248.29, 12,370.01 and 2,324.78

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Solution

The fourth proportional to 8,248.29, 12,370.01 and 2,324.78 is: 3,486.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,248.29 : 12,370.01 = 2,324.78 : x
  2. Step 2: Convert to fraction form
    8,248.29/12,370.01 = 2,324.78/x
  3. Step 3: Cross multiply
    8,248.29x = 12,370.01 × 2,324.78
  4. Step 4: Simplify right side
    8,248.29x = 28,757,551.85
  5. Step 5: Solve for x
    x = 28,757,551.85/8,248.29
  6. Step 6: Final answer
    x = 3,486.49

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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.