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Finding the Fourth Proportional to 10,171.69, 15,236.75 and 7,542.16

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Solution

The fourth proportional to 10,171.69, 15,236.75 and 7,542.16 is: 11,297.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,171.69 : 15,236.75 = 7,542.16 : x
  2. Step 2: Convert to fraction form
    10,171.69/15,236.75 = 7,542.16/x
  3. Step 3: Cross multiply
    10,171.69x = 15,236.75 × 7,542.16
  4. Step 4: Simplify right side
    10,171.69x = 114,917,968.67
  5. Step 5: Solve for x
    x = 114,917,968.67/10,171.69
  6. Step 6: Final answer
    x = 11,297.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.