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Finding the Fourth Proportional to 7,296.82, 10,946.20 and 3,347.14

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Solution

The fourth proportional to 7,296.82, 10,946.20 and 3,347.14 is: 5,021.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,296.82 : 10,946.20 = 3,347.14 : x
  2. Step 2: Convert to fraction form
    7,296.82/10,946.20 = 3,347.14/x
  3. Step 3: Cross multiply
    7,296.82x = 10,946.20 × 3,347.14
  4. Step 4: Simplify right side
    7,296.82x = 36,638,463.87
  5. Step 5: Solve for x
    x = 36,638,463.87/7,296.82
  6. Step 6: Final answer
    x = 5,021.15

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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.