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Finding the Fourth Proportional to 10,971.30, 16,452.90 and 5,422.80

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Solution

The fourth proportional to 10,971.30, 16,452.90 and 5,422.80 is: 8,132.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,971.30 : 16,452.90 = 5,422.80 : x
  2. Step 2: Convert to fraction form
    10,971.30/16,452.90 = 5,422.80/x
  3. Step 3: Cross multiply
    10,971.30x = 16,452.90 × 5,422.80
  4. Step 4: Simplify right side
    10,971.30x = 89,220,786.12
  5. Step 5: Solve for x
    x = 89,220,786.12/10,971.30
  6. Step 6: Final answer
    x = 8,132.20

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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.