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Finding the Fourth Proportional to 11,249.12, 16,873.95 and 3,458

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Solution

The fourth proportional to 11,249.12, 16,873.95 and 3,458 is: 5,187.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,249.12 : 16,873.95 = 3,458 : x
  2. Step 2: Convert to fraction form
    11,249.12/16,873.95 = 3,458/x
  3. Step 3: Cross multiply
    11,249.12x = 16,873.95 × 3,458
  4. Step 4: Simplify right side
    11,249.12x = 58,350,119.10
  5. Step 5: Solve for x
    x = 58,350,119.10/11,249.12
  6. Step 6: Final answer
    x = 5,187.08

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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.