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Finding the Fourth Proportional to 10,538.88, 15,807.26 and 2,747.68

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Solution

The fourth proportional to 10,538.88, 15,807.26 and 2,747.68 is: 4,121.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,538.88 : 15,807.26 = 2,747.68 : x
  2. Step 2: Convert to fraction form
    10,538.88/15,807.26 = 2,747.68/x
  3. Step 3: Cross multiply
    10,538.88x = 15,807.26 × 2,747.68
  4. Step 4: Simplify right side
    10,538.88x = 43,433,292.16
  5. Step 5: Solve for x
    x = 43,433,292.16/10,538.88
  6. Step 6: Final answer
    x = 4,121.24

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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.