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Finding the Fourth Proportional to 7,989.78, 11,983.02 and 2,145

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Solution

The fourth proportional to 7,989.78, 11,983.02 and 2,145 is: 3,217.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,989.78 : 11,983.02 = 2,145 : x
  2. Step 2: Convert to fraction form
    7,989.78/11,983.02 = 2,145/x
  3. Step 3: Cross multiply
    7,989.78x = 11,983.02 × 2,145
  4. Step 4: Simplify right side
    7,989.78x = 25,703,577.90
  5. Step 5: Solve for x
    x = 25,703,577.90/7,989.78
  6. Step 6: Final answer
    x = 3,217.06

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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.