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Finding the Fourth Proportional to 11,971.27, 17,963.05 and 5,312.33

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Solution

The fourth proportional to 11,971.27, 17,963.05 and 5,312.33 is: 7,971.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,971.27 : 17,963.05 = 5,312.33 : x
  2. Step 2: Convert to fraction form
    11,971.27/17,963.05 = 5,312.33/x
  3. Step 3: Cross multiply
    11,971.27x = 17,963.05 × 5,312.33
  4. Step 4: Simplify right side
    11,971.27x = 95,425,633.41
  5. Step 5: Solve for x
    x = 95,425,633.41/11,971.27
  6. Step 6: Final answer
    x = 7,971.22

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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.