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Finding the Fourth Proportional to 11,131.71, 16,701.89 and 4,206.75

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Solution

The fourth proportional to 11,131.71, 16,701.89 and 4,206.75 is: 6,311.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,131.71 : 16,701.89 = 4,206.75 : x
  2. Step 2: Convert to fraction form
    11,131.71/16,701.89 = 4,206.75/x
  3. Step 3: Cross multiply
    11,131.71x = 16,701.89 × 4,206.75
  4. Step 4: Simplify right side
    11,131.71x = 70,260,654.72
  5. Step 5: Solve for x
    x = 70,260,654.72/11,131.71
  6. Step 6: Final answer
    x = 6,311.76

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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.