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Finding the Fourth Proportional to 7,298.26, 10,947.26 and 2,367.91

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Solution

The fourth proportional to 7,298.26, 10,947.26 and 2,367.91 is: 3,551.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,298.26 : 10,947.26 = 2,367.91 : x
  2. Step 2: Convert to fraction form
    7,298.26/10,947.26 = 2,367.91/x
  3. Step 3: Cross multiply
    7,298.26x = 10,947.26 × 2,367.91
  4. Step 4: Simplify right side
    7,298.26x = 25,922,059.85
  5. Step 5: Solve for x
    x = 25,922,059.85/7,298.26
  6. Step 6: Final answer
    x = 3,551.82

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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.