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Finding the Fourth Proportional to 10,759.59, 16,143.93 and 8,299.22

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Solution

The fourth proportional to 10,759.59, 16,143.93 and 8,299.22 is: 12,452.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,759.59 : 16,143.93 = 8,299.22 : x
  2. Step 2: Convert to fraction form
    10,759.59/16,143.93 = 8,299.22/x
  3. Step 3: Cross multiply
    10,759.59x = 16,143.93 × 8,299.22
  4. Step 4: Simplify right side
    10,759.59x = 133,981,946.01
  5. Step 5: Solve for x
    x = 133,981,946.01/10,759.59
  6. Step 6: Final answer
    x = 12,452.33

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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.