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Finding the Fourth Proportional to 8,295.76, 12,436.26 and 2,747.47

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Solution

The fourth proportional to 8,295.76, 12,436.26 and 2,747.47 is: 4,118.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,295.76 : 12,436.26 = 2,747.47 : x
  2. Step 2: Convert to fraction form
    8,295.76/12,436.26 = 2,747.47/x
  3. Step 3: Cross multiply
    8,295.76x = 12,436.26 × 2,747.47
  4. Step 4: Simplify right side
    8,295.76x = 34,168,251.26
  5. Step 5: Solve for x
    x = 34,168,251.26/8,295.76
  6. Step 6: Final answer
    x = 4,118.76

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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.