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Finding the Fourth Proportional to 10,874.09, 15,005.72 and 6,093.44

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Solution

The fourth proportional to 10,874.09, 15,005.72 and 6,093.44 is: 8,408.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,874.09 : 15,005.72 = 6,093.44 : x
  2. Step 2: Convert to fraction form
    10,874.09/15,005.72 = 6,093.44/x
  3. Step 3: Cross multiply
    10,874.09x = 15,005.72 × 6,093.44
  4. Step 4: Simplify right side
    10,874.09x = 91,436,454.48
  5. Step 5: Solve for x
    x = 91,436,454.48/10,874.09
  6. Step 6: Final answer
    x = 8,408.65

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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.