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Finding the Fourth Proportional to 10,480.48, 15,715.86 and 6,099.19

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Solution

The fourth proportional to 10,480.48, 15,715.86 and 6,099.19 is: 9,145.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,480.48 : 15,715.86 = 6,099.19 : x
  2. Step 2: Convert to fraction form
    10,480.48/15,715.86 = 6,099.19/x
  3. Step 3: Cross multiply
    10,480.48x = 15,715.86 × 6,099.19
  4. Step 4: Simplify right side
    10,480.48x = 95,854,016.15
  5. Step 5: Solve for x
    x = 95,854,016.15/10,480.48
  6. Step 6: Final answer
    x = 9,145.96

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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.