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Finding the Fourth Proportional to 10,194.44, 15,294.04 and 3,174.12

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Solution

The fourth proportional to 10,194.44, 15,294.04 and 3,174.12 is: 4,761.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,194.44 : 15,294.04 = 3,174.12 : x
  2. Step 2: Convert to fraction form
    10,194.44/15,294.04 = 3,174.12/x
  3. Step 3: Cross multiply
    10,194.44x = 15,294.04 × 3,174.12
  4. Step 4: Simplify right side
    10,194.44x = 48,545,118.24
  5. Step 5: Solve for x
    x = 48,545,118.24/10,194.44
  6. Step 6: Final answer
    x = 4,761.92

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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.