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Finding the Fourth Proportional to 10,220.44, 15,359.82 and 5,029.96

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Solution

The fourth proportional to 10,220.44, 15,359.82 and 5,029.96 is: 7,559.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,220.44 : 15,359.82 = 5,029.96 : x
  2. Step 2: Convert to fraction form
    10,220.44/15,359.82 = 5,029.96/x
  3. Step 3: Cross multiply
    10,220.44x = 15,359.82 × 5,029.96
  4. Step 4: Simplify right side
    10,220.44x = 77,259,280.21
  5. Step 5: Solve for x
    x = 77,259,280.21/10,220.44
  6. Step 6: Final answer
    x = 7,559.29

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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.