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Finding the Fourth Proportional to 8,087.82, 11,155.23 and 6,098.46

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Solution

The fourth proportional to 8,087.82, 11,155.23 and 6,098.46 is: 8,411.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,087.82 : 11,155.23 = 6,098.46 : x
  2. Step 2: Convert to fraction form
    8,087.82/11,155.23 = 6,098.46/x
  3. Step 3: Cross multiply
    8,087.82x = 11,155.23 × 6,098.46
  4. Step 4: Simplify right side
    8,087.82x = 68,029,723.95
  5. Step 5: Solve for x
    x = 68,029,723.95/8,087.82
  6. Step 6: Final answer
    x = 8,411.38

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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.