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Finding the Fourth Proportional to 7,974.08, 11,959.04 and 3,356.16

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Solution

The fourth proportional to 7,974.08, 11,959.04 and 3,356.16 is: 5,033.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,974.08 : 11,959.04 = 3,356.16 : x
  2. Step 2: Convert to fraction form
    7,974.08/11,959.04 = 3,356.16/x
  3. Step 3: Cross multiply
    7,974.08x = 11,959.04 × 3,356.16
  4. Step 4: Simplify right side
    7,974.08x = 40,136,451.69
  5. Step 5: Solve for x
    x = 40,136,451.69/7,974.08
  6. Step 6: Final answer
    x = 5,033.36

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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.