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Finding the Fourth Proportional to 10,517.24, 15,775.86 and 6,611.96

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Solution

The fourth proportional to 10,517.24, 15,775.86 and 6,611.96 is: 9,917.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,517.24 : 15,775.86 = 6,611.96 : x
  2. Step 2: Convert to fraction form
    10,517.24/15,775.86 = 6,611.96/x
  3. Step 3: Cross multiply
    10,517.24x = 15,775.86 × 6,611.96
  4. Step 4: Simplify right side
    10,517.24x = 104,309,355.29
  5. Step 5: Solve for x
    x = 104,309,355.29/10,517.24
  6. Step 6: Final answer
    x = 9,917.94

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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.