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Finding the Fourth Proportional to 10,217.79, 15,326.24 and 3,643.88

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Solution

The fourth proportional to 10,217.79, 15,326.24 and 3,643.88 is: 5,465.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,217.79 : 15,326.24 = 3,643.88 : x
  2. Step 2: Convert to fraction form
    10,217.79/15,326.24 = 3,643.88/x
  3. Step 3: Cross multiply
    10,217.79x = 15,326.24 × 3,643.88
  4. Step 4: Simplify right side
    10,217.79x = 55,846,884.56
  5. Step 5: Solve for x
    x = 55,846,884.56/10,217.79
  6. Step 6: Final answer
    x = 5,465.65

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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.