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Finding the Fourth Proportional to 8,320.70, 11,535.14 and 7,876.82

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Solution

The fourth proportional to 8,320.70, 11,535.14 and 7,876.82 is: 10,919.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,320.70 : 11,535.14 = 7,876.82 : x
  2. Step 2: Convert to fraction form
    8,320.70/11,535.14 = 7,876.82/x
  3. Step 3: Cross multiply
    8,320.70x = 11,535.14 × 7,876.82
  4. Step 4: Simplify right side
    8,320.70x = 90,860,221.45
  5. Step 5: Solve for x
    x = 90,860,221.45/8,320.70
  6. Step 6: Final answer
    x = 10,919.78

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.