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Finding the Fourth Proportional to 10,690.99, 16,039.97 and 5,144.78

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Solution

The fourth proportional to 10,690.99, 16,039.97 and 5,144.78 is: 7,718.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,690.99 : 16,039.97 = 5,144.78 : x
  2. Step 2: Convert to fraction form
    10,690.99/16,039.97 = 5,144.78/x
  3. Step 3: Cross multiply
    10,690.99x = 16,039.97 × 5,144.78
  4. Step 4: Simplify right side
    10,690.99x = 82,522,116.86
  5. Step 5: Solve for x
    x = 82,522,116.86/10,690.99
  6. Step 6: Final answer
    x = 7,718.85

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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.