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Finding the Fourth Proportional to 10,221.71, 15,321.74 and 5,829.75

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Solution

The fourth proportional to 10,221.71, 15,321.74 and 5,829.75 is: 8,738.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,221.71 : 15,321.74 = 5,829.75 : x
  2. Step 2: Convert to fraction form
    10,221.71/15,321.74 = 5,829.75/x
  3. Step 3: Cross multiply
    10,221.71x = 15,321.74 × 5,829.75
  4. Step 4: Simplify right side
    10,221.71x = 89,321,884.62
  5. Step 5: Solve for x
    x = 89,321,884.62/10,221.71
  6. Step 6: Final answer
    x = 8,738.45

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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.