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Finding the Fourth Proportional to 11,137.46, 16,771.68 and 8,039.20

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Solution

The fourth proportional to 11,137.46, 16,771.68 and 8,039.20 is: 12,106.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,137.46 : 16,771.68 = 8,039.20 : x
  2. Step 2: Convert to fraction form
    11,137.46/16,771.68 = 8,039.20/x
  3. Step 3: Cross multiply
    11,137.46x = 16,771.68 × 8,039.20
  4. Step 4: Simplify right side
    11,137.46x = 134,830,889.86
  5. Step 5: Solve for x
    x = 134,830,889.86/11,137.46
  6. Step 6: Final answer
    x = 12,106.07

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.