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Finding the Fourth Proportional to 7,198.72, 10,796.16 and 4,079.36

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Solution

The fourth proportional to 7,198.72, 10,796.16 and 4,079.36 is: 6,117.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,198.72 : 10,796.16 = 4,079.36 : x
  2. Step 2: Convert to fraction form
    7,198.72/10,796.16 = 4,079.36/x
  3. Step 3: Cross multiply
    7,198.72x = 10,796.16 × 4,079.36
  4. Step 4: Simplify right side
    7,198.72x = 44,041,423.26
  5. Step 5: Solve for x
    x = 44,041,423.26/7,198.72
  6. Step 6: Final answer
    x = 6,117.95

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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.