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Finding the Fourth Proportional to 7,957.30, 11,936.01 and 2,698.24

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Solution

The fourth proportional to 7,957.30, 11,936.01 and 2,698.24 is: 4,047.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,957.30 : 11,936.01 = 2,698.24 : x
  2. Step 2: Convert to fraction form
    7,957.30/11,936.01 = 2,698.24/x
  3. Step 3: Cross multiply
    7,957.30x = 11,936.01 × 2,698.24
  4. Step 4: Simplify right side
    7,957.30x = 32,206,219.62
  5. Step 5: Solve for x
    x = 32,206,219.62/7,957.30
  6. Step 6: Final answer
    x = 4,047.38

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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.