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Finding the Fourth Proportional to 8,000.97, 12,005.50 and 5,398.44

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Solution

The fourth proportional to 8,000.97, 12,005.50 and 5,398.44 is: 8,100.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,000.97 : 12,005.50 = 5,398.44 : x
  2. Step 2: Convert to fraction form
    8,000.97/12,005.50 = 5,398.44/x
  3. Step 3: Cross multiply
    8,000.97x = 12,005.50 × 5,398.44
  4. Step 4: Simplify right side
    8,000.97x = 64,810,971.42
  5. Step 5: Solve for x
    x = 64,810,971.42/8,000.97
  6. Step 6: Final answer
    x = 8,100.39

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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.