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Finding the Fourth Proportional to 7,996.84, 11,937.41 and 6,908.20

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Solution

The fourth proportional to 7,996.84, 11,937.41 and 6,908.20 is: 10,312.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,996.84 : 11,937.41 = 6,908.20 : x
  2. Step 2: Convert to fraction form
    7,996.84/11,937.41 = 6,908.20/x
  3. Step 3: Cross multiply
    7,996.84x = 11,937.41 × 6,908.20
  4. Step 4: Simplify right side
    7,996.84x = 82,466,015.76
  5. Step 5: Solve for x
    x = 82,466,015.76/7,996.84
  6. Step 6: Final answer
    x = 10,312.33

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.