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Finding the Fourth Proportional to 8,286.98, 11,436 and 4,752.24

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Solution

The fourth proportional to 8,286.98, 11,436 and 4,752.24 is: 6,558.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,286.98 : 11,436 = 4,752.24 : x
  2. Step 2: Convert to fraction form
    8,286.98/11,436 = 4,752.24/x
  3. Step 3: Cross multiply
    8,286.98x = 11,436 × 4,752.24
  4. Step 4: Simplify right side
    8,286.98x = 54,346,616.64
  5. Step 5: Solve for x
    x = 54,346,616.64/8,286.98
  6. Step 6: Final answer
    x = 6,558.07

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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.