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Finding the Fourth Proportional to 10,149.80, 15,221.94 and 6,882.96

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Solution

The fourth proportional to 10,149.80, 15,221.94 and 6,882.96 is: 10,322.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,149.80 : 15,221.94 = 6,882.96 : x
  2. Step 2: Convert to fraction form
    10,149.80/15,221.94 = 6,882.96/x
  3. Step 3: Cross multiply
    10,149.80x = 15,221.94 × 6,882.96
  4. Step 4: Simplify right side
    10,149.80x = 104,772,004.14
  5. Step 5: Solve for x
    x = 104,772,004.14/10,149.80
  6. Step 6: Final answer
    x = 10,322.57

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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.