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Finding the Fourth Proportional to 7,216.87, 10,827.22 and 2,286.59

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Solution

The fourth proportional to 7,216.87, 10,827.22 and 2,286.59 is: 3,430.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,216.87 : 10,827.22 = 2,286.59 : x
  2. Step 2: Convert to fraction form
    7,216.87/10,827.22 = 2,286.59/x
  3. Step 3: Cross multiply
    7,216.87x = 10,827.22 × 2,286.59
  4. Step 4: Simplify right side
    7,216.87x = 24,757,412.98
  5. Step 5: Solve for x
    x = 24,757,412.98/7,216.87
  6. Step 6: Final answer
    x = 3,430.49

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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.