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Finding the Fourth Proportional to 10,227.72, 15,344.80 and 3,653.76

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Solution

The fourth proportional to 10,227.72, 15,344.80 and 3,653.76 is: 5,481.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,227.72 : 15,344.80 = 3,653.76 : x
  2. Step 2: Convert to fraction form
    10,227.72/15,344.80 = 3,653.76/x
  3. Step 3: Cross multiply
    10,227.72x = 15,344.80 × 3,653.76
  4. Step 4: Simplify right side
    10,227.72x = 56,066,216.45
  5. Step 5: Solve for x
    x = 56,066,216.45/10,227.72
  6. Step 6: Final answer
    x = 5,481.79

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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.