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Finding the Fourth Proportional to 8,149.77, 12,217.32 and 2,952

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Solution

The fourth proportional to 8,149.77, 12,217.32 and 2,952 is: 4,425.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,149.77 : 12,217.32 = 2,952 : x
  2. Step 2: Convert to fraction form
    8,149.77/12,217.32 = 2,952/x
  3. Step 3: Cross multiply
    8,149.77x = 12,217.32 × 2,952
  4. Step 4: Simplify right side
    8,149.77x = 36,065,528.64
  5. Step 5: Solve for x
    x = 36,065,528.64/8,149.77
  6. Step 6: Final answer
    x = 4,425.34

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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.