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Finding the Fourth Proportional to 7,843.68, 11,749.32 and 6,286.32

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Solution

The fourth proportional to 7,843.68, 11,749.32 and 6,286.32 is: 9,416.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,843.68 : 11,749.32 = 6,286.32 : x
  2. Step 2: Convert to fraction form
    7,843.68/11,749.32 = 6,286.32/x
  3. Step 3: Cross multiply
    7,843.68x = 11,749.32 × 6,286.32
  4. Step 4: Simplify right side
    7,843.68x = 73,859,985.30
  5. Step 5: Solve for x
    x = 73,859,985.30/7,843.68
  6. Step 6: Final answer
    x = 9,416.50

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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.