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Finding the Fourth Proportional to 10,102.16, 13,940.88 and 5,910.44

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Solution

The fourth proportional to 10,102.16, 13,940.88 and 5,910.44 is: 8,156.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,102.16 : 13,940.88 = 5,910.44 : x
  2. Step 2: Convert to fraction form
    10,102.16/13,940.88 = 5,910.44/x
  3. Step 3: Cross multiply
    10,102.16x = 13,940.88 × 5,910.44
  4. Step 4: Simplify right side
    10,102.16x = 82,396,734.79
  5. Step 5: Solve for x
    x = 82,396,734.79/10,102.16
  6. Step 6: Final answer
    x = 8,156.35

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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.