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Finding the Fourth Proportional to 7,881.30, 11,822.32 and 3,198.89

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Solution

The fourth proportional to 7,881.30, 11,822.32 and 3,198.89 is: 4,798.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,881.30 : 11,822.32 = 3,198.89 : x
  2. Step 2: Convert to fraction form
    7,881.30/11,822.32 = 3,198.89/x
  3. Step 3: Cross multiply
    7,881.30x = 11,822.32 × 3,198.89
  4. Step 4: Simplify right side
    7,881.30x = 37,818,334.78
  5. Step 5: Solve for x
    x = 37,818,334.78/7,881.30
  6. Step 6: Final answer
    x = 4,798.49

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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.