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Finding the Fourth Proportional to 10,220.21, 15,322.54 and 5,286.71

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Solution

The fourth proportional to 10,220.21, 15,322.54 and 5,286.71 is: 7,926.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,220.21 : 15,322.54 = 5,286.71 : x
  2. Step 2: Convert to fraction form
    10,220.21/15,322.54 = 5,286.71/x
  3. Step 3: Cross multiply
    10,220.21x = 15,322.54 × 5,286.71
  4. Step 4: Simplify right side
    10,220.21x = 81,005,825.44
  5. Step 5: Solve for x
    x = 81,005,825.44/10,220.21
  6. Step 6: Final answer
    x = 7,926.04

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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.