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Finding the Fourth Proportional to 10,408.08, 14,369.72 and 8,023.04

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Solution

The fourth proportional to 10,408.08, 14,369.72 and 8,023.04 is: 11,076.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,408.08 : 14,369.72 = 8,023.04 : x
  2. Step 2: Convert to fraction form
    10,408.08/14,369.72 = 8,023.04/x
  3. Step 3: Cross multiply
    10,408.08x = 14,369.72 × 8,023.04
  4. Step 4: Simplify right side
    10,408.08x = 115,288,838.35
  5. Step 5: Solve for x
    x = 115,288,838.35/10,408.08
  6. Step 6: Final answer
    x = 11,076.86

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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.