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Finding the Fourth Proportional to 10,480.98, 15,716.61 and 6,099.69

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Solution

The fourth proportional to 10,480.98, 15,716.61 and 6,099.69 is: 9,146.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,480.98 : 15,716.61 = 6,099.69 : x
  2. Step 2: Convert to fraction form
    10,480.98/15,716.61 = 6,099.69/x
  3. Step 3: Cross multiply
    10,480.98x = 15,716.61 × 6,099.69
  4. Step 4: Simplify right side
    10,480.98x = 95,866,448.85
  5. Step 5: Solve for x
    x = 95,866,448.85/10,480.98
  6. Step 6: Final answer
    x = 9,146.71

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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.