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Finding the Fourth Proportional to 8,248.74, 12,364.47 and 3,862.50

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Solution

The fourth proportional to 8,248.74, 12,364.47 and 3,862.50 is: 5,789.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,248.74 : 12,364.47 = 3,862.50 : x
  2. Step 2: Convert to fraction form
    8,248.74/12,364.47 = 3,862.50/x
  3. Step 3: Cross multiply
    8,248.74x = 12,364.47 × 3,862.50
  4. Step 4: Simplify right side
    8,248.74x = 47,757,765.38
  5. Step 5: Solve for x
    x = 47,757,765.38/8,248.74
  6. Step 6: Final answer
    x = 5,789.70

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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.