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Finding the Fourth Proportional to 10,186.44, 14,040.78 and 7,197.48

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Solution

The fourth proportional to 10,186.44, 14,040.78 and 7,197.48 is: 9,920.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,186.44 : 14,040.78 = 7,197.48 : x
  2. Step 2: Convert to fraction form
    10,186.44/14,040.78 = 7,197.48/x
  3. Step 3: Cross multiply
    10,186.44x = 14,040.78 × 7,197.48
  4. Step 4: Simplify right side
    10,186.44x = 101,058,233.23
  5. Step 5: Solve for x
    x = 101,058,233.23/10,186.44
  6. Step 6: Final answer
    x = 9,920.86

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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.