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Finding the Fourth Proportional to 7,551.27, 11,327.00 and 2,286.32

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Solution

The fourth proportional to 7,551.27, 11,327.00 and 2,286.32 is: 3,429.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,551.27 : 11,327.00 = 2,286.32 : x
  2. Step 2: Convert to fraction form
    7,551.27/11,327.00 = 2,286.32/x
  3. Step 3: Cross multiply
    7,551.27x = 11,327.00 × 2,286.32
  4. Step 4: Simplify right side
    7,551.27x = 25,897,078.57
  5. Step 5: Solve for x
    x = 25,897,078.57/7,551.27
  6. Step 6: Final answer
    x = 3,429.50

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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.