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Finding the Fourth Proportional to 6,691.84, 10,039.04 and 2,309.12

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Solution

The fourth proportional to 6,691.84, 10,039.04 and 2,309.12 is: 3,464.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,691.84 : 10,039.04 = 2,309.12 : x
  2. Step 2: Convert to fraction form
    6,691.84/10,039.04 = 2,309.12/x
  3. Step 3: Cross multiply
    6,691.84x = 10,039.04 × 2,309.12
  4. Step 4: Simplify right side
    6,691.84x = 23,181,348.04
  5. Step 5: Solve for x
    x = 23,181,348.04/6,691.84
  6. Step 6: Final answer
    x = 3,464.12

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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.