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Finding the Fourth Proportional to 10,144.71, 15,217.08 and 2,749.20

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Solution

The fourth proportional to 10,144.71, 15,217.08 and 2,749.20 is: 4,123.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,144.71 : 15,217.08 = 2,749.20 : x
  2. Step 2: Convert to fraction form
    10,144.71/15,217.08 = 2,749.20/x
  3. Step 3: Cross multiply
    10,144.71x = 15,217.08 × 2,749.20
  4. Step 4: Simplify right side
    10,144.71x = 41,834,796.34
  5. Step 5: Solve for x
    x = 41,834,796.34/10,144.71
  6. Step 6: Final answer
    x = 4,123.80

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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.