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Finding the Fourth Proportional to 6,808.94, 10,214.04 and 2,649.26

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Solution

The fourth proportional to 6,808.94, 10,214.04 and 2,649.26 is: 3,974.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,808.94 : 10,214.04 = 2,649.26 : x
  2. Step 2: Convert to fraction form
    6,808.94/10,214.04 = 2,649.26/x
  3. Step 3: Cross multiply
    6,808.94x = 10,214.04 × 2,649.26
  4. Step 4: Simplify right side
    6,808.94x = 27,059,647.61
  5. Step 5: Solve for x
    x = 27,059,647.61/6,808.94
  6. Step 6: Final answer
    x = 3,974.14

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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.