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Finding the Fourth Proportional to 6,694.43, 10,047.80 and 3,409.88

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Solution

The fourth proportional to 6,694.43, 10,047.80 and 3,409.88 is: 5,117.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,694.43 : 10,047.80 = 3,409.88 : x
  2. Step 2: Convert to fraction form
    6,694.43/10,047.80 = 3,409.88/x
  3. Step 3: Cross multiply
    6,694.43x = 10,047.80 × 3,409.88
  4. Step 4: Simplify right side
    6,694.43x = 34,261,750.55
  5. Step 5: Solve for x
    x = 34,261,750.55/6,694.43
  6. Step 6: Final answer
    x = 5,117.95

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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.