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Finding the Fourth Proportional to 7,296.94, 10,947.14 and 2,366.58

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Solution

The fourth proportional to 7,296.94, 10,947.14 and 2,366.58 is: 3,550.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,296.94 : 10,947.14 = 2,366.58 : x
  2. Step 2: Convert to fraction form
    7,296.94/10,947.14 = 2,366.58/x
  3. Step 3: Cross multiply
    7,296.94x = 10,947.14 × 2,366.58
  4. Step 4: Simplify right side
    7,296.94x = 25,907,282.58
  5. Step 5: Solve for x
    x = 25,907,282.58/7,296.94
  6. Step 6: Final answer
    x = 3,550.43

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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.