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Finding the Fourth Proportional to 8,154.64, 12,237.44 and 3,991.20

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Solution

The fourth proportional to 8,154.64, 12,237.44 and 3,991.20 is: 5,989.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,154.64 : 12,237.44 = 3,991.20 : x
  2. Step 2: Convert to fraction form
    8,154.64/12,237.44 = 3,991.20/x
  3. Step 3: Cross multiply
    8,154.64x = 12,237.44 × 3,991.20
  4. Step 4: Simplify right side
    8,154.64x = 48,842,070.53
  5. Step 5: Solve for x
    x = 48,842,070.53/8,154.64
  6. Step 6: Final answer
    x = 5,989.48

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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.