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Finding the Fourth Proportional to 10,194.10, 15,295.04 and 3,958.49

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Solution

The fourth proportional to 10,194.10, 15,295.04 and 3,958.49 is: 5,939.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,194.10 : 15,295.04 = 3,958.49 : x
  2. Step 2: Convert to fraction form
    10,194.10/15,295.04 = 3,958.49/x
  3. Step 3: Cross multiply
    10,194.10x = 15,295.04 × 3,958.49
  4. Step 4: Simplify right side
    10,194.10x = 60,545,311.02
  5. Step 5: Solve for x
    x = 60,545,311.02/10,194.10
  6. Step 6: Final answer
    x = 5,939.25

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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.