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Finding the Fourth Proportional to 10,194.92, 15,294.78 and 3,174.60

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Solution

The fourth proportional to 10,194.92, 15,294.78 and 3,174.60 is: 4,762.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,194.92 : 15,294.78 = 3,174.60 : x
  2. Step 2: Convert to fraction form
    10,194.92/15,294.78 = 3,174.60/x
  3. Step 3: Cross multiply
    10,194.92x = 15,294.78 × 3,174.60
  4. Step 4: Simplify right side
    10,194.92x = 48,554,808.59
  5. Step 5: Solve for x
    x = 48,554,808.59/10,194.92
  6. Step 6: Final answer
    x = 4,762.65

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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.