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Finding the Fourth Proportional to 8,267.76, 12,390.84 and 7,105.68

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Solution

The fourth proportional to 8,267.76, 12,390.84 and 7,105.68 is: 10,649.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,267.76 : 12,390.84 = 7,105.68 : x
  2. Step 2: Convert to fraction form
    8,267.76/12,390.84 = 7,105.68/x
  3. Step 3: Cross multiply
    8,267.76x = 12,390.84 × 7,105.68
  4. Step 4: Simplify right side
    8,267.76x = 88,045,343.97
  5. Step 5: Solve for x
    x = 88,045,343.97/8,267.76
  6. Step 6: Final answer
    x = 10,649.24

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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.