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Finding the Fourth Proportional to 7,348.36, 10,160.67 and 7,229.66

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Solution

The fourth proportional to 7,348.36, 10,160.67 and 7,229.66 is: 9,996.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,348.36 : 10,160.67 = 7,229.66 : x
  2. Step 2: Convert to fraction form
    7,348.36/10,160.67 = 7,229.66/x
  3. Step 3: Cross multiply
    7,348.36x = 10,160.67 × 7,229.66
  4. Step 4: Simplify right side
    7,348.36x = 73,458,189.47
  5. Step 5: Solve for x
    x = 73,458,189.47/7,348.36
  6. Step 6: Final answer
    x = 9,996.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.