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Finding the Fourth Proportional to 7,296.62, 10,946.67 and 2,366.27

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Solution

The fourth proportional to 7,296.62, 10,946.67 and 2,366.27 is: 3,549.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,296.62 : 10,946.67 = 2,366.27 : x
  2. Step 2: Convert to fraction form
    7,296.62/10,946.67 = 2,366.27/x
  3. Step 3: Cross multiply
    7,296.62x = 10,946.67 × 2,366.27
  4. Step 4: Simplify right side
    7,296.62x = 25,902,804.19
  5. Step 5: Solve for x
    x = 25,902,804.19/7,296.62
  6. Step 6: Final answer
    x = 3,549.97

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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.