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Finding the Fourth Proportional to 8,181.80, 12,265.29 and 2,984

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Solution

The fourth proportional to 8,181.80, 12,265.29 and 2,984 is: 4,473.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,181.80 : 12,265.29 = 2,984 : x
  2. Step 2: Convert to fraction form
    8,181.80/12,265.29 = 2,984/x
  3. Step 3: Cross multiply
    8,181.80x = 12,265.29 × 2,984
  4. Step 4: Simplify right side
    8,181.80x = 36,599,625.36
  5. Step 5: Solve for x
    x = 36,599,625.36/8,181.80
  6. Step 6: Final answer
    x = 4,473.30

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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.