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Finding the Fourth Proportional to 7,881.83, 11,812.53 and 3,196.37

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Solution

The fourth proportional to 7,881.83, 11,812.53 and 3,196.37 is: 4,790.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,881.83 : 11,812.53 = 3,196.37 : x
  2. Step 2: Convert to fraction form
    7,881.83/11,812.53 = 3,196.37/x
  3. Step 3: Cross multiply
    7,881.83x = 11,812.53 × 3,196.37
  4. Step 4: Simplify right side
    7,881.83x = 37,757,246.05
  5. Step 5: Solve for x
    x = 37,757,246.05/7,881.83
  6. Step 6: Final answer
    x = 4,790.41

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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.