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Finding the Fourth Proportional to 10,077.76, 15,119.82 and 8,221.54

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Solution

The fourth proportional to 10,077.76, 15,119.82 and 8,221.54 is: 12,334.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,077.76 : 15,119.82 = 8,221.54 : x
  2. Step 2: Convert to fraction form
    10,077.76/15,119.82 = 8,221.54/x
  3. Step 3: Cross multiply
    10,077.76x = 15,119.82 × 8,221.54
  4. Step 4: Simplify right side
    10,077.76x = 124,308,204.92
  5. Step 5: Solve for x
    x = 124,308,204.92/10,077.76
  6. Step 6: Final answer
    x = 12,334.90

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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.