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Finding the Fourth Proportional to 8,232.14, 11,364 and 5,251.88

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Solution

The fourth proportional to 8,232.14, 11,364 and 5,251.88 is: 7,249.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,232.14 : 11,364 = 5,251.88 : x
  2. Step 2: Convert to fraction form
    8,232.14/11,364 = 5,251.88/x
  3. Step 3: Cross multiply
    8,232.14x = 11,364 × 5,251.88
  4. Step 4: Simplify right side
    8,232.14x = 59,682,364.32
  5. Step 5: Solve for x
    x = 59,682,364.32/8,232.14
  6. Step 6: Final answer
    x = 7,249.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.