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Finding the Fourth Proportional to 7,180.26, 9,905.94 and 5,296.36

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Solution

The fourth proportional to 7,180.26, 9,905.94 and 5,296.36 is: 7,306.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,180.26 : 9,905.94 = 5,296.36 : x
  2. Step 2: Convert to fraction form
    7,180.26/9,905.94 = 5,296.36/x
  3. Step 3: Cross multiply
    7,180.26x = 9,905.94 × 5,296.36
  4. Step 4: Simplify right side
    7,180.26x = 52,465,424.38
  5. Step 5: Solve for x
    x = 52,465,424.38/7,180.26
  6. Step 6: Final answer
    x = 7,306.90

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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.