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Finding the Fourth Proportional to 7,992.70, 11,988.64 and 2,149.36

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Solution

The fourth proportional to 7,992.70, 11,988.64 and 2,149.36 is: 3,223.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,992.70 : 11,988.64 = 2,149.36 : x
  2. Step 2: Convert to fraction form
    7,992.70/11,988.64 = 2,149.36/x
  3. Step 3: Cross multiply
    7,992.70x = 11,988.64 × 2,149.36
  4. Step 4: Simplify right side
    7,992.70x = 25,767,903.27
  5. Step 5: Solve for x
    x = 25,767,903.27/7,992.70
  6. Step 6: Final answer
    x = 3,223.93

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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.