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Finding the Fourth Proportional to 7,978.24, 11,965.98 and 2,133.50

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Solution

The fourth proportional to 7,978.24, 11,965.98 and 2,133.50 is: 3,199.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,978.24 : 11,965.98 = 2,133.50 : x
  2. Step 2: Convert to fraction form
    7,978.24/11,965.98 = 2,133.50/x
  3. Step 3: Cross multiply
    7,978.24x = 11,965.98 × 2,133.50
  4. Step 4: Simplify right side
    7,978.24x = 25,529,418.33
  5. Step 5: Solve for x
    x = 25,529,418.33/7,978.24
  6. Step 6: Final answer
    x = 3,199.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.