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Finding the Fourth Proportional to 6,911.31, 10,366.97 and 2,294.31

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Solution

The fourth proportional to 6,911.31, 10,366.97 and 2,294.31 is: 3,441.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,911.31 : 10,366.97 = 2,294.31 : x
  2. Step 2: Convert to fraction form
    6,911.31/10,366.97 = 2,294.31/x
  3. Step 3: Cross multiply
    6,911.31x = 10,366.97 × 2,294.31
  4. Step 4: Simplify right side
    6,911.31x = 23,785,068.86
  5. Step 5: Solve for x
    x = 23,785,068.86/6,911.31
  6. Step 6: Final answer
    x = 3,441.47

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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.