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Finding the Fourth Proportional to 8,237.67, 12,356.40 and 1,997.74

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Solution

The fourth proportional to 8,237.67, 12,356.40 and 1,997.74 is: 2,996.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,237.67 : 12,356.40 = 1,997.74 : x
  2. Step 2: Convert to fraction form
    8,237.67/12,356.40 = 1,997.74/x
  3. Step 3: Cross multiply
    8,237.67x = 12,356.40 × 1,997.74
  4. Step 4: Simplify right side
    8,237.67x = 24,684,864.55
  5. Step 5: Solve for x
    x = 24,684,864.55/8,237.67
  6. Step 6: Final answer
    x = 2,996.58

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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.