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Finding the Fourth Proportional to 10,089.72, 13,924.27 and 8,408.31

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Solution

The fourth proportional to 10,089.72, 13,924.27 and 8,408.31 is: 11,603.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,089.72 : 13,924.27 = 8,408.31 : x
  2. Step 2: Convert to fraction form
    10,089.72/13,924.27 = 8,408.31/x
  3. Step 3: Cross multiply
    10,089.72x = 13,924.27 × 8,408.31
  4. Step 4: Simplify right side
    10,089.72x = 117,079,654.46
  5. Step 5: Solve for x
    x = 117,079,654.46/10,089.72
  6. Step 6: Final answer
    x = 11,603.85

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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.