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Finding the Fourth Proportional to 10,911.58, 16,372.77 and 8,143.81

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Solution

The fourth proportional to 10,911.58, 16,372.77 and 8,143.81 is: 12,219.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,911.58 : 16,372.77 = 8,143.81 : x
  2. Step 2: Convert to fraction form
    10,911.58/16,372.77 = 8,143.81/x
  3. Step 3: Cross multiply
    10,911.58x = 16,372.77 × 8,143.81
  4. Step 4: Simplify right side
    10,911.58x = 133,336,728.05
  5. Step 5: Solve for x
    x = 133,336,728.05/10,911.58
  6. Step 6: Final answer
    x = 12,219.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.