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Finding the Fourth Proportional to 6,908.84, 10,364.29 and 2,227.31

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Solution

The fourth proportional to 6,908.84, 10,364.29 and 2,227.31 is: 3,341.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,908.84 : 10,364.29 = 2,227.31 : x
  2. Step 2: Convert to fraction form
    6,908.84/10,364.29 = 2,227.31/x
  3. Step 3: Cross multiply
    6,908.84x = 10,364.29 × 2,227.31
  4. Step 4: Simplify right side
    6,908.84x = 23,084,468.24
  5. Step 5: Solve for x
    x = 23,084,468.24/6,908.84
  6. Step 6: Final answer
    x = 3,341.29

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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.