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Finding the Fourth Proportional to 8,394.66, 12,577.98 and 3,947.54

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Solution

The fourth proportional to 8,394.66, 12,577.98 and 3,947.54 is: 5,914.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,394.66 : 12,577.98 = 3,947.54 : x
  2. Step 2: Convert to fraction form
    8,394.66/12,577.98 = 3,947.54/x
  3. Step 3: Cross multiply
    8,394.66x = 12,577.98 × 3,947.54
  4. Step 4: Simplify right side
    8,394.66x = 49,652,031.08
  5. Step 5: Solve for x
    x = 49,652,031.08/8,394.66
  6. Step 6: Final answer
    x = 5,914.71

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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.