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Finding the Fourth Proportional to 10,412.44, 15,647.82 and 5,221.96

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Solution

The fourth proportional to 10,412.44, 15,647.82 and 5,221.96 is: 7,847.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,412.44 : 15,647.82 = 5,221.96 : x
  2. Step 2: Convert to fraction form
    10,412.44/15,647.82 = 5,221.96/x
  3. Step 3: Cross multiply
    10,412.44x = 15,647.82 × 5,221.96
  4. Step 4: Simplify right side
    10,412.44x = 81,712,290.13
  5. Step 5: Solve for x
    x = 81,712,290.13/10,412.44
  6. Step 6: Final answer
    x = 7,847.56

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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.