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Finding the Fourth Proportional to 7,889.83, 11,841.64 and 3,212.39

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Solution

The fourth proportional to 7,889.83, 11,841.64 and 3,212.39 is: 4,821.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,889.83 : 11,841.64 = 3,212.39 : x
  2. Step 2: Convert to fraction form
    7,889.83/11,841.64 = 3,212.39/x
  3. Step 3: Cross multiply
    7,889.83x = 11,841.64 × 3,212.39
  4. Step 4: Simplify right side
    7,889.83x = 38,039,987.49
  5. Step 5: Solve for x
    x = 38,039,987.49/7,889.83
  6. Step 6: Final answer
    x = 4,821.40

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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.