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Finding the Fourth Proportional to 10,169.25, 14,023.71 and 7,930.31

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Solution

The fourth proportional to 10,169.25, 14,023.71 and 7,930.31 is: 10,936.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,169.25 : 14,023.71 = 7,930.31 : x
  2. Step 2: Convert to fraction form
    10,169.25/14,023.71 = 7,930.31/x
  3. Step 3: Cross multiply
    10,169.25x = 14,023.71 × 7,930.31
  4. Step 4: Simplify right side
    10,169.25x = 111,212,367.65
  5. Step 5: Solve for x
    x = 111,212,367.65/10,169.25
  6. Step 6: Final answer
    x = 10,936.14

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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.