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Finding the Fourth Proportional to 8,638.61, 11,921.31 and 5,102.06

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Solution

The fourth proportional to 8,638.61, 11,921.31 and 5,102.06 is: 7,040.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,638.61 : 11,921.31 = 5,102.06 : x
  2. Step 2: Convert to fraction form
    8,638.61/11,921.31 = 5,102.06/x
  3. Step 3: Cross multiply
    8,638.61x = 11,921.31 × 5,102.06
  4. Step 4: Simplify right side
    8,638.61x = 60,823,179.29
  5. Step 5: Solve for x
    x = 60,823,179.29/8,638.61
  6. Step 6: Final answer
    x = 7,040.86

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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.