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Finding the Fourth Proportional to 8,166.96, 12,250.44 and 3,488.40

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Solution

The fourth proportional to 8,166.96, 12,250.44 and 3,488.40 is: 5,232.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,166.96 : 12,250.44 = 3,488.40 : x
  2. Step 2: Convert to fraction form
    8,166.96/12,250.44 = 3,488.40/x
  3. Step 3: Cross multiply
    8,166.96x = 12,250.44 × 3,488.40
  4. Step 4: Simplify right side
    8,166.96x = 42,734,434.90
  5. Step 5: Solve for x
    x = 42,734,434.90/8,166.96
  6. Step 6: Final answer
    x = 5,232.60

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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.