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Finding the Fourth Proportional to 7,957.80, 11,922 and 4,004.48

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Solution

The fourth proportional to 7,957.80, 11,922 and 4,004.48 is: 5,999.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,957.80 : 11,922 = 4,004.48 : x
  2. Step 2: Convert to fraction form
    7,957.80/11,922 = 4,004.48/x
  3. Step 3: Cross multiply
    7,957.80x = 11,922 × 4,004.48
  4. Step 4: Simplify right side
    7,957.80x = 47,741,410.56
  5. Step 5: Solve for x
    x = 47,741,410.56/7,957.80
  6. Step 6: Final answer
    x = 5,999.32

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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.