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Finding the Fourth Proportional to 10,107.16, 13,947.78 and 5,915.44

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Solution

The fourth proportional to 10,107.16, 13,947.78 and 5,915.44 is: 8,163.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,107.16 : 13,947.78 = 5,915.44 : x
  2. Step 2: Convert to fraction form
    10,107.16/13,947.78 = 5,915.44/x
  3. Step 3: Cross multiply
    10,107.16x = 13,947.78 × 5,915.44
  4. Step 4: Simplify right side
    10,107.16x = 82,507,255.72
  5. Step 5: Solve for x
    x = 82,507,255.72/10,107.16
  6. Step 6: Final answer
    x = 8,163.25

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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.