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Finding the Fourth Proportional to 10,947.90, 15,107.67 and 6,231.90

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Solution

The fourth proportional to 10,947.90, 15,107.67 and 6,231.90 is: 8,599.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,947.90 : 15,107.67 = 6,231.90 : x
  2. Step 2: Convert to fraction form
    10,947.90/15,107.67 = 6,231.90/x
  3. Step 3: Cross multiply
    10,947.90x = 15,107.67 × 6,231.90
  4. Step 4: Simplify right side
    10,947.90x = 94,149,488.67
  5. Step 5: Solve for x
    x = 94,149,488.67/10,947.90
  6. Step 6: Final answer
    x = 8,599.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.