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Finding the Fourth Proportional to 8,032, 11,072.01 and 6,906.91

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Solution

The fourth proportional to 8,032, 11,072.01 and 6,906.91 is: 9,521.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,032 : 11,072.01 = 6,906.91 : x
  2. Step 2: Convert to fraction form
    8,032/11,072.01 = 6,906.91/x
  3. Step 3: Cross multiply
    8,032x = 11,072.01 × 6,906.91
  4. Step 4: Simplify right side
    8,032x = 76,473,376.59
  5. Step 5: Solve for x
    x = 76,473,376.59/8,032
  6. Step 6: Final answer
    x = 9,521.09

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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.