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Finding the Fourth Proportional to 11,997.16, 17,989.86 and 4,204.84

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Solution

The fourth proportional to 11,997.16, 17,989.86 and 4,204.84 is: 6,305.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,997.16 : 17,989.86 = 4,204.84 : x
  2. Step 2: Convert to fraction form
    11,997.16/17,989.86 = 4,204.84/x
  3. Step 3: Cross multiply
    11,997.16x = 17,989.86 × 4,204.84
  4. Step 4: Simplify right side
    11,997.16x = 75,644,482.92
  5. Step 5: Solve for x
    x = 75,644,482.92/11,997.16
  6. Step 6: Final answer
    x = 6,305.20

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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.