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Finding the Fourth Proportional to 7,229.71, 10,827.24 and 3,710.46

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Solution

The fourth proportional to 7,229.71, 10,827.24 and 3,710.46 is: 5,556.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,229.71 : 10,827.24 = 3,710.46 : x
  2. Step 2: Convert to fraction form
    7,229.71/10,827.24 = 3,710.46/x
  3. Step 3: Cross multiply
    7,229.71x = 10,827.24 × 3,710.46
  4. Step 4: Simplify right side
    7,229.71x = 40,174,040.93
  5. Step 5: Solve for x
    x = 40,174,040.93/7,229.71
  6. Step 6: Final answer
    x = 5,556.80

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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.