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Finding the Fourth Proportional to 10,334.75, 15,502.13 and 3,409.79

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Solution

The fourth proportional to 10,334.75, 15,502.13 and 3,409.79 is: 5,114.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,334.75 : 15,502.13 = 3,409.79 : x
  2. Step 2: Convert to fraction form
    10,334.75/15,502.13 = 3,409.79/x
  3. Step 3: Cross multiply
    10,334.75x = 15,502.13 × 3,409.79
  4. Step 4: Simplify right side
    10,334.75x = 52,858,990.80
  5. Step 5: Solve for x
    x = 52,858,990.80/10,334.75
  6. Step 6: Final answer
    x = 5,114.69

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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.