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Finding the Fourth Proportional to 6,696.28, 10,043.65 and 1,766.31

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Solution

The fourth proportional to 6,696.28, 10,043.65 and 1,766.31 is: 2,649.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,696.28 : 10,043.65 = 1,766.31 : x
  2. Step 2: Convert to fraction form
    6,696.28/10,043.65 = 1,766.31/x
  3. Step 3: Cross multiply
    6,696.28x = 10,043.65 × 1,766.31
  4. Step 4: Simplify right side
    6,696.28x = 17,740,199.43
  5. Step 5: Solve for x
    x = 17,740,199.43/6,696.28
  6. Step 6: Final answer
    x = 2,649.26

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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.