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Finding the Fourth Proportional to 8,111.84, 11,128.37 and 8,035.29

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Solution

The fourth proportional to 8,111.84, 11,128.37 and 8,035.29 is: 11,023.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,111.84 : 11,128.37 = 8,035.29 : x
  2. Step 2: Convert to fraction form
    8,111.84/11,128.37 = 8,035.29/x
  3. Step 3: Cross multiply
    8,111.84x = 11,128.37 × 8,035.29
  4. Step 4: Simplify right side
    8,111.84x = 89,419,640.00
  5. Step 5: Solve for x
    x = 89,419,640.00/8,111.84
  6. Step 6: Final answer
    x = 11,023.36

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.