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Finding the Fourth Proportional to 11,971.38, 17,948.04 and 8,263.02

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Solution

The fourth proportional to 11,971.38, 17,948.04 and 8,263.02 is: 12,388.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,971.38 : 17,948.04 = 8,263.02 : x
  2. Step 2: Convert to fraction form
    11,971.38/17,948.04 = 8,263.02/x
  3. Step 3: Cross multiply
    11,971.38x = 17,948.04 × 8,263.02
  4. Step 4: Simplify right side
    11,971.38x = 148,305,013.48
  5. Step 5: Solve for x
    x = 148,305,013.48/11,971.38
  6. Step 6: Final answer
    x = 12,388.30

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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.