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Finding the Fourth Proportional to 11,444, 17,168.88 and 3,236

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Solution

The fourth proportional to 11,444, 17,168.88 and 3,236 is: 4,854.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,444 : 17,168.88 = 3,236 : x
  2. Step 2: Convert to fraction form
    11,444/17,168.88 = 3,236/x
  3. Step 3: Cross multiply
    11,444x = 17,168.88 × 3,236
  4. Step 4: Simplify right side
    11,444x = 55,558,495.68
  5. Step 5: Solve for x
    x = 55,558,495.68/11,444
  6. Step 6: Final answer
    x = 4,854.81

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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.