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Finding the Fourth Proportional to 7,978.56, 11,959.92 and 4,074.24

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Solution

The fourth proportional to 7,978.56, 11,959.92 and 4,074.24 is: 6,107.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,978.56 : 11,959.92 = 4,074.24 : x
  2. Step 2: Convert to fraction form
    7,978.56/11,959.92 = 4,074.24/x
  3. Step 3: Cross multiply
    7,978.56x = 11,959.92 × 4,074.24
  4. Step 4: Simplify right side
    7,978.56x = 48,727,584.46
  5. Step 5: Solve for x
    x = 48,727,584.46/7,978.56
  6. Step 6: Final answer
    x = 6,107.32

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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.