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Finding the Fourth Proportional to 10,194.55, 15,274.11 and 5,517.77

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Solution

The fourth proportional to 10,194.55, 15,274.11 and 5,517.77 is: 8,267.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,194.55 : 15,274.11 = 5,517.77 : x
  2. Step 2: Convert to fraction form
    10,194.55/15,274.11 = 5,517.77/x
  3. Step 3: Cross multiply
    10,194.55x = 15,274.11 × 5,517.77
  4. Step 4: Simplify right side
    10,194.55x = 84,279,064.12
  5. Step 5: Solve for x
    x = 84,279,064.12/10,194.55
  6. Step 6: Final answer
    x = 8,267.07

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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.