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Finding the Fourth Proportional to 7,906.51, 11,843.36 and 4,609.61

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Solution

The fourth proportional to 7,906.51, 11,843.36 and 4,609.61 is: 6,904.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,906.51 : 11,843.36 = 4,609.61 : x
  2. Step 2: Convert to fraction form
    7,906.51/11,843.36 = 4,609.61/x
  3. Step 3: Cross multiply
    7,906.51x = 11,843.36 × 4,609.61
  4. Step 4: Simplify right side
    7,906.51x = 54,593,188.42
  5. Step 5: Solve for x
    x = 54,593,188.42/7,906.51
  6. Step 6: Final answer
    x = 6,904.84

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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.