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Finding the Fourth Proportional to 10,174.06, 15,266.76 and 5,493.97

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Solution

The fourth proportional to 10,174.06, 15,266.76 and 5,493.97 is: 8,244.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,174.06 : 15,266.76 = 5,493.97 : x
  2. Step 2: Convert to fraction form
    10,174.06/15,266.76 = 5,493.97/x
  3. Step 3: Cross multiply
    10,174.06x = 15,266.76 × 5,493.97
  4. Step 4: Simplify right side
    10,174.06x = 83,875,121.44
  5. Step 5: Solve for x
    x = 83,875,121.44/10,174.06
  6. Step 6: Final answer
    x = 8,244.02

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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.