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Finding the Fourth Proportional to 10,174.08, 15,266.89 and 5,494.03

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Solution

The fourth proportional to 10,174.08, 15,266.89 and 5,494.03 is: 8,244.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,174.08 : 15,266.89 = 5,494.03 : x
  2. Step 2: Convert to fraction form
    10,174.08/15,266.89 = 5,494.03/x
  3. Step 3: Cross multiply
    10,174.08x = 15,266.89 × 5,494.03
  4. Step 4: Simplify right side
    10,174.08x = 83,876,751.67
  5. Step 5: Solve for x
    x = 83,876,751.67/10,174.08
  6. Step 6: Final answer
    x = 8,244.16

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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.