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Finding the Fourth Proportional to 10,217.66, 14,100.36 and 5,971.64

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Solution

The fourth proportional to 10,217.66, 14,100.36 and 5,971.64 is: 8,240.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,217.66 : 14,100.36 = 5,971.64 : x
  2. Step 2: Convert to fraction form
    10,217.66/14,100.36 = 5,971.64/x
  3. Step 3: Cross multiply
    10,217.66x = 14,100.36 × 5,971.64
  4. Step 4: Simplify right side
    10,217.66x = 84,202,273.79
  5. Step 5: Solve for x
    x = 84,202,273.79/10,217.66
  6. Step 6: Final answer
    x = 8,240.86

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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.