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Finding the Fourth Proportional to 8,683.72, 13,008.14 and 3,997.20

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Solution

The fourth proportional to 8,683.72, 13,008.14 and 3,997.20 is: 5,987.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,683.72 : 13,008.14 = 3,997.20 : x
  2. Step 2: Convert to fraction form
    8,683.72/13,008.14 = 3,997.20/x
  3. Step 3: Cross multiply
    8,683.72x = 13,008.14 × 3,997.20
  4. Step 4: Simplify right side
    8,683.72x = 51,996,137.21
  5. Step 5: Solve for x
    x = 51,996,137.21/8,683.72
  6. Step 6: Final answer
    x = 5,987.77

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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.