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Finding the Fourth Proportional to 8,227.62, 12,330.50 and 7,126.83

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Solution

The fourth proportional to 8,227.62, 12,330.50 and 7,126.83 is: 10,680.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,227.62 : 12,330.50 = 7,126.83 : x
  2. Step 2: Convert to fraction form
    8,227.62/12,330.50 = 7,126.83/x
  3. Step 3: Cross multiply
    8,227.62x = 12,330.50 × 7,126.83
  4. Step 4: Simplify right side
    8,227.62x = 87,877,341.68
  5. Step 5: Solve for x
    x = 87,877,341.68/8,227.62
  6. Step 6: Final answer
    x = 10,680.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.