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Finding the Fourth Proportional to 6,806.72, 10,207.43 and 2,646.17

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Solution

The fourth proportional to 6,806.72, 10,207.43 and 2,646.17 is: 3,968.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,806.72 : 10,207.43 = 2,646.17 : x
  2. Step 2: Convert to fraction form
    6,806.72/10,207.43 = 2,646.17/x
  3. Step 3: Cross multiply
    6,806.72x = 10,207.43 × 2,646.17
  4. Step 4: Simplify right side
    6,806.72x = 27,010,613.95
  5. Step 5: Solve for x
    x = 27,010,613.95/6,806.72
  6. Step 6: Final answer
    x = 3,968.23

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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.