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Finding the Fourth Proportional to 6,802.97, 10,209.94 and 3,517

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Solution

The fourth proportional to 6,802.97, 10,209.94 and 3,517 is: 5,278.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,802.97 : 10,209.94 = 3,517 : x
  2. Step 2: Convert to fraction form
    6,802.97/10,209.94 = 3,517/x
  3. Step 3: Cross multiply
    6,802.97x = 10,209.94 × 3,517
  4. Step 4: Simplify right side
    6,802.97x = 35,908,358.98
  5. Step 5: Solve for x
    x = 35,908,358.98/6,802.97
  6. Step 6: Final answer
    x = 5,278.34

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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.