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Finding the Fourth Proportional to 10,994.31, 15,171.44 and 6,801.75

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Solution

The fourth proportional to 10,994.31, 15,171.44 and 6,801.75 is: 9,385.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,994.31 : 15,171.44 = 6,801.75 : x
  2. Step 2: Convert to fraction form
    10,994.31/15,171.44 = 6,801.75/x
  3. Step 3: Cross multiply
    10,994.31x = 15,171.44 × 6,801.75
  4. Step 4: Simplify right side
    10,994.31x = 103,192,308.01
  5. Step 5: Solve for x
    x = 103,192,308.01/10,994.31
  6. Step 6: Final answer
    x = 9,385.97

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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.