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Finding the Fourth Proportional to 8,251.58, 12,377.36 and 7,137.68

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Solution

The fourth proportional to 8,251.58, 12,377.36 and 7,137.68 is: 10,706.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,251.58 : 12,377.36 = 7,137.68 : x
  2. Step 2: Convert to fraction form
    8,251.58/12,377.36 = 7,137.68/x
  3. Step 3: Cross multiply
    8,251.58x = 12,377.36 × 7,137.68
  4. Step 4: Simplify right side
    8,251.58x = 88,345,590.88
  5. Step 5: Solve for x
    x = 88,345,590.88/8,251.58
  6. Step 6: Final answer
    x = 10,706.50

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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.