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Finding the Fourth Proportional to 6,806.97, 10,207.80 and 2,646.42

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Solution

The fourth proportional to 6,806.97, 10,207.80 and 2,646.42 is: 3,968.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,806.97 : 10,207.80 = 2,646.42 : x
  2. Step 2: Convert to fraction form
    6,806.97/10,207.80 = 2,646.42/x
  3. Step 3: Cross multiply
    6,806.97x = 10,207.80 × 2,646.42
  4. Step 4: Simplify right side
    6,806.97x = 27,014,126.08
  5. Step 5: Solve for x
    x = 27,014,126.08/6,806.97
  6. Step 6: Final answer
    x = 3,968.60

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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.