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Finding the Fourth Proportional to 10,221, 15,334.20 and 3,295.68

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Solution

The fourth proportional to 10,221, 15,334.20 and 3,295.68 is: 4,944.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,221 : 15,334.20 = 3,295.68 : x
  2. Step 2: Convert to fraction form
    10,221/15,334.20 = 3,295.68/x
  3. Step 3: Cross multiply
    10,221x = 15,334.20 × 3,295.68
  4. Step 4: Simplify right side
    10,221x = 50,536,616.26
  5. Step 5: Solve for x
    x = 50,536,616.26/10,221
  6. Step 6: Final answer
    x = 4,944.39

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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.