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Finding the Fourth Proportional to 6,806.01, 10,209.65 and 2,646.33

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Solution

The fourth proportional to 6,806.01, 10,209.65 and 2,646.33 is: 3,969.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,806.01 : 10,209.65 = 2,646.33 : x
  2. Step 2: Convert to fraction form
    6,806.01/10,209.65 = 2,646.33/x
  3. Step 3: Cross multiply
    6,806.01x = 10,209.65 × 2,646.33
  4. Step 4: Simplify right side
    6,806.01x = 27,018,128.61
  5. Step 5: Solve for x
    x = 27,018,128.61/6,806.01
  6. Step 6: Final answer
    x = 3,969.75

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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.