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Finding the Fourth Proportional to 8,204.32, 11,314.38 and 7,256.62

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Solution

The fourth proportional to 8,204.32, 11,314.38 and 7,256.62 is: 10,007.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,204.32 : 11,314.38 = 7,256.62 : x
  2. Step 2: Convert to fraction form
    8,204.32/11,314.38 = 7,256.62/x
  3. Step 3: Cross multiply
    8,204.32x = 11,314.38 × 7,256.62
  4. Step 4: Simplify right side
    8,204.32x = 82,104,156.20
  5. Step 5: Solve for x
    x = 82,104,156.20/8,204.32
  6. Step 6: Final answer
    x = 10,007.43

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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.