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Finding the Fourth Proportional to 10,488.89, 15,729.36 and 3,466.80

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Solution

The fourth proportional to 10,488.89, 15,729.36 and 3,466.80 is: 5,198.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,488.89 : 15,729.36 = 3,466.80 : x
  2. Step 2: Convert to fraction form
    10,488.89/15,729.36 = 3,466.80/x
  3. Step 3: Cross multiply
    10,488.89x = 15,729.36 × 3,466.80
  4. Step 4: Simplify right side
    10,488.89x = 54,530,532.25
  5. Step 5: Solve for x
    x = 54,530,532.25/10,488.89
  6. Step 6: Final answer
    x = 5,198.88

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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.