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Finding the Fourth Proportional to 7,902.82, 11,855.59 and 3,225.37

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Solution

The fourth proportional to 7,902.82, 11,855.59 and 3,225.37 is: 4,838.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,902.82 : 11,855.59 = 3,225.37 : x
  2. Step 2: Convert to fraction form
    7,902.82/11,855.59 = 3,225.37/x
  3. Step 3: Cross multiply
    7,902.82x = 11,855.59 × 3,225.37
  4. Step 4: Simplify right side
    7,902.82x = 38,238,657.92
  5. Step 5: Solve for x
    x = 38,238,657.92/7,902.82
  6. Step 6: Final answer
    x = 4,838.61

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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.