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Finding the Fourth Proportional to 11,161.71, 16,743.42 and 3,370.50

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Solution

The fourth proportional to 11,161.71, 16,743.42 and 3,370.50 is: 5,056.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,161.71 : 16,743.42 = 3,370.50 : x
  2. Step 2: Convert to fraction form
    11,161.71/16,743.42 = 3,370.50/x
  3. Step 3: Cross multiply
    11,161.71x = 16,743.42 × 3,370.50
  4. Step 4: Simplify right side
    11,161.71x = 56,433,697.11
  5. Step 5: Solve for x
    x = 56,433,697.11/11,161.71
  6. Step 6: Final answer
    x = 5,056.01

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Why These Related Problems?

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