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Finding the Fourth Proportional to 10,972.70, 16,426.73 and 6,799.29

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Solution

The fourth proportional to 10,972.70, 16,426.73 and 6,799.29 is: 10,178.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,972.70 : 16,426.73 = 6,799.29 : x
  2. Step 2: Convert to fraction form
    10,972.70/16,426.73 = 6,799.29/x
  3. Step 3: Cross multiply
    10,972.70x = 16,426.73 × 6,799.29
  4. Step 4: Simplify right side
    10,972.70x = 111,690,118.02
  5. Step 5: Solve for x
    x = 111,690,118.02/10,972.70
  6. Step 6: Final answer
    x = 10,178.91

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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.