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Finding the Fourth Proportional to 10,686.75, 14,747.44 and 5,971.07

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Solution

The fourth proportional to 10,686.75, 14,747.44 and 5,971.07 is: 8,239.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,686.75 : 14,747.44 = 5,971.07 : x
  2. Step 2: Convert to fraction form
    10,686.75/14,747.44 = 5,971.07/x
  3. Step 3: Cross multiply
    10,686.75x = 14,747.44 × 5,971.07
  4. Step 4: Simplify right side
    10,686.75x = 88,057,996.56
  5. Step 5: Solve for x
    x = 88,057,996.56/10,686.75
  6. Step 6: Final answer
    x = 8,239.92

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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.