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Finding the Fourth Proportional to 8,638.18, 11,924.73 and 5,654.14

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Solution

The fourth proportional to 8,638.18, 11,924.73 and 5,654.14 is: 7,805.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,638.18 : 11,924.73 = 5,654.14 : x
  2. Step 2: Convert to fraction form
    8,638.18/11,924.73 = 5,654.14/x
  3. Step 3: Cross multiply
    8,638.18x = 11,924.73 × 5,654.14
  4. Step 4: Simplify right side
    8,638.18x = 67,424,092.88
  5. Step 5: Solve for x
    x = 67,424,092.88/8,638.18
  6. Step 6: Final answer
    x = 7,805.36

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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.