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Finding the Fourth Proportional to 7,884.81, 11,832.48 and 3,267.81

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Solution

The fourth proportional to 7,884.81, 11,832.48 and 3,267.81 is: 4,903.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,884.81 : 11,832.48 = 3,267.81 : x
  2. Step 2: Convert to fraction form
    7,884.81/11,832.48 = 3,267.81/x
  3. Step 3: Cross multiply
    7,884.81x = 11,832.48 × 3,267.81
  4. Step 4: Simplify right side
    7,884.81x = 38,666,296.47
  5. Step 5: Solve for x
    x = 38,666,296.47/7,884.81
  6. Step 6: Final answer
    x = 4,903.90

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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.