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Finding the Fourth Proportional to 10,094.16, 13,930.07 and 5,617.97

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Solution

The fourth proportional to 10,094.16, 13,930.07 and 5,617.97 is: 7,752.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,094.16 : 13,930.07 = 5,617.97 : x
  2. Step 2: Convert to fraction form
    10,094.16/13,930.07 = 5,617.97/x
  3. Step 3: Cross multiply
    10,094.16x = 13,930.07 × 5,617.97
  4. Step 4: Simplify right side
    10,094.16x = 78,258,617.62
  5. Step 5: Solve for x
    x = 78,258,617.62/10,094.16
  6. Step 6: Final answer
    x = 7,752.86

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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.