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Finding the Fourth Proportional to 11,338.50, 16,965 and 10,187.46

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Solution

The fourth proportional to 11,338.50, 16,965 and 10,187.46 is: 15,242.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,338.50 : 16,965 = 10,187.46 : x
  2. Step 2: Convert to fraction form
    11,338.50/16,965 = 10,187.46/x
  3. Step 3: Cross multiply
    11,338.50x = 16,965 × 10,187.46
  4. Step 4: Simplify right side
    11,338.50x = 172,830,258.90
  5. Step 5: Solve for x
    x = 172,830,258.90/11,338.50
  6. Step 6: Final answer
    x = 15,242.78

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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.