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Finding the Fourth Proportional to 8,292.35, 11,444.25 and 6,192.83

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Solution

The fourth proportional to 8,292.35, 11,444.25 and 6,192.83 is: 8,546.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,292.35 : 11,444.25 = 6,192.83 : x
  2. Step 2: Convert to fraction form
    8,292.35/11,444.25 = 6,192.83/x
  3. Step 3: Cross multiply
    8,292.35x = 11,444.25 × 6,192.83
  4. Step 4: Simplify right side
    8,292.35x = 70,872,294.73
  5. Step 5: Solve for x
    x = 70,872,294.73/8,292.35
  6. Step 6: Final answer
    x = 8,546.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.