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Finding the Fourth Proportional to 6,802.90, 10,209.81 and 3,516.95

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Solution

The fourth proportional to 6,802.90, 10,209.81 and 3,516.95 is: 5,278.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,802.90 : 10,209.81 = 3,516.95 : x
  2. Step 2: Convert to fraction form
    6,802.90/10,209.81 = 3,516.95/x
  3. Step 3: Cross multiply
    6,802.90x = 10,209.81 × 3,516.95
  4. Step 4: Simplify right side
    6,802.90x = 35,907,391.28
  5. Step 5: Solve for x
    x = 35,907,391.28/6,802.90
  6. Step 6: Final answer
    x = 5,278.25

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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.