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Finding the Fourth Proportional to 11,166.39, 16,749.18 and 3,375

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Solution

The fourth proportional to 11,166.39, 16,749.18 and 3,375 is: 5,062.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,166.39 : 16,749.18 = 3,375 : x
  2. Step 2: Convert to fraction form
    11,166.39/16,749.18 = 3,375/x
  3. Step 3: Cross multiply
    11,166.39x = 16,749.18 × 3,375
  4. Step 4: Simplify right side
    11,166.39x = 56,528,482.50
  5. Step 5: Solve for x
    x = 56,528,482.50/11,166.39
  6. Step 6: Final answer
    x = 5,062.38

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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.