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Finding the Fourth Proportional to 7,976.22, 11,007.14 and 4,439.42

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Solution

The fourth proportional to 7,976.22, 11,007.14 and 4,439.42 is: 6,126.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,976.22 : 11,007.14 = 4,439.42 : x
  2. Step 2: Convert to fraction form
    7,976.22/11,007.14 = 4,439.42/x
  3. Step 3: Cross multiply
    7,976.22x = 11,007.14 × 4,439.42
  4. Step 4: Simplify right side
    7,976.22x = 48,865,317.46
  5. Step 5: Solve for x
    x = 48,865,317.46/7,976.22
  6. Step 6: Final answer
    x = 6,126.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.