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Finding the Fourth Proportional to 10,094.97, 13,930.65 and 5,618.60

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Solution

The fourth proportional to 10,094.97, 13,930.65 and 5,618.60 is: 7,753.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,094.97 : 13,930.65 = 5,618.60 : x
  2. Step 2: Convert to fraction form
    10,094.97/13,930.65 = 5,618.60/x
  3. Step 3: Cross multiply
    10,094.97x = 13,930.65 × 5,618.60
  4. Step 4: Simplify right side
    10,094.97x = 78,270,680.44
  5. Step 5: Solve for x
    x = 78,270,680.44/10,094.97
  6. Step 6: Final answer
    x = 7,753.43

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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.