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Finding the Fourth Proportional to 10,107.62, 13,949.18 and 5,631.36

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Solution

The fourth proportional to 10,107.62, 13,949.18 and 5,631.36 is: 7,771.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,107.62 : 13,949.18 = 5,631.36 : x
  2. Step 2: Convert to fraction form
    10,107.62/13,949.18 = 5,631.36/x
  3. Step 3: Cross multiply
    10,107.62x = 13,949.18 × 5,631.36
  4. Step 4: Simplify right side
    10,107.62x = 78,552,794.94
  5. Step 5: Solve for x
    x = 78,552,794.94/10,107.62
  6. Step 6: Final answer
    x = 7,771.64

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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.