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Finding the Fourth Proportional to 8,362.98, 12,546.53 and 5,902.61

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Solution

The fourth proportional to 8,362.98, 12,546.53 and 5,902.61 is: 8,855.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,362.98 : 12,546.53 = 5,902.61 : x
  2. Step 2: Convert to fraction form
    8,362.98/12,546.53 = 5,902.61/x
  3. Step 3: Cross multiply
    8,362.98x = 12,546.53 × 5,902.61
  4. Step 4: Simplify right side
    8,362.98x = 74,057,203.33
  5. Step 5: Solve for x
    x = 74,057,203.33/8,362.98
  6. Step 6: Final answer
    x = 8,855.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.