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Finding the Fourth Proportional to 8,502.27, 11,704.41 and 7,007.82

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Solution

The fourth proportional to 8,502.27, 11,704.41 and 7,007.82 is: 9,647.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,502.27 : 11,704.41 = 7,007.82 : x
  2. Step 2: Convert to fraction form
    8,502.27/11,704.41 = 7,007.82/x
  3. Step 3: Cross multiply
    8,502.27x = 11,704.41 × 7,007.82
  4. Step 4: Simplify right side
    8,502.27x = 82,022,398.49
  5. Step 5: Solve for x
    x = 82,022,398.49/8,502.27
  6. Step 6: Final answer
    x = 9,647.12

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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.