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Finding the Fourth Proportional to 11,894.20, 16,408.74 and 8,359.72

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Solution

The fourth proportional to 11,894.20, 16,408.74 and 8,359.72 is: 11,532.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,894.20 : 16,408.74 = 8,359.72 : x
  2. Step 2: Convert to fraction form
    11,894.20/16,408.74 = 8,359.72/x
  3. Step 3: Cross multiply
    11,894.20x = 16,408.74 × 8,359.72
  4. Step 4: Simplify right side
    11,894.20x = 137,172,471.95
  5. Step 5: Solve for x
    x = 137,172,471.95/11,894.20
  6. Step 6: Final answer
    x = 11,532.72

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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.