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Finding the Fourth Proportional to 7,841.61, 11,761.81 and 1,998.07

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Solution

The fourth proportional to 7,841.61, 11,761.81 and 1,998.07 is: 2,996.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,841.61 : 11,761.81 = 1,998.07 : x
  2. Step 2: Convert to fraction form
    7,841.61/11,761.81 = 1,998.07/x
  3. Step 3: Cross multiply
    7,841.61x = 11,761.81 × 1,998.07
  4. Step 4: Simplify right side
    7,841.61x = 23,500,885.31
  5. Step 5: Solve for x
    x = 23,500,885.31/7,841.61
  6. Step 6: Final answer
    x = 2,996.95

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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.