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Finding the Fourth Proportional to 10,126.54, 15,194.22 and 3,557.44

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Solution

The fourth proportional to 10,126.54, 15,194.22 and 3,557.44 is: 5,337.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,126.54 : 15,194.22 = 3,557.44 : x
  2. Step 2: Convert to fraction form
    10,126.54/15,194.22 = 3,557.44/x
  3. Step 3: Cross multiply
    10,126.54x = 15,194.22 × 3,557.44
  4. Step 4: Simplify right side
    10,126.54x = 54,052,526.00
  5. Step 5: Solve for x
    x = 54,052,526.00/10,126.54
  6. Step 6: Final answer
    x = 5,337.71

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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.