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Finding the Fourth Proportional to 10,194.57, 15,294.05 and 3,174.44

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Solution

The fourth proportional to 10,194.57, 15,294.05 and 3,174.44 is: 4,762.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,194.57 : 15,294.05 = 3,174.44 : x
  2. Step 2: Convert to fraction form
    10,194.57/15,294.05 = 3,174.44/x
  3. Step 3: Cross multiply
    10,194.57x = 15,294.05 × 3,174.44
  4. Step 4: Simplify right side
    10,194.57x = 48,549,951.74
  5. Step 5: Solve for x
    x = 48,549,951.74/10,194.57
  6. Step 6: Final answer
    x = 4,762.33

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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.