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Finding the Fourth Proportional to 10,829.88, 16,239.96 and 3,432.96

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Solution

The fourth proportional to 10,829.88, 16,239.96 and 3,432.96 is: 5,147.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,829.88 : 16,239.96 = 3,432.96 : x
  2. Step 2: Convert to fraction form
    10,829.88/16,239.96 = 3,432.96/x
  3. Step 3: Cross multiply
    10,829.88x = 16,239.96 × 3,432.96
  4. Step 4: Simplify right side
    10,829.88x = 55,751,133.08
  5. Step 5: Solve for x
    x = 55,751,133.08/10,829.88
  6. Step 6: Final answer
    x = 5,147.90

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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.