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Finding the Fourth Proportional to 8,180.98, 12,277.68 and 5,995.42

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Solution

The fourth proportional to 8,180.98, 12,277.68 and 5,995.42 is: 8,997.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,180.98 : 12,277.68 = 5,995.42 : x
  2. Step 2: Convert to fraction form
    8,180.98/12,277.68 = 5,995.42/x
  3. Step 3: Cross multiply
    8,180.98x = 12,277.68 × 5,995.42
  4. Step 4: Simplify right side
    8,180.98x = 73,609,848.23
  5. Step 5: Solve for x
    x = 73,609,848.23/8,180.98
  6. Step 6: Final answer
    x = 8,997.68

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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.