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Finding the Fourth Proportional to 7,160.69, 10,745.28 and 3,873.71

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Solution

The fourth proportional to 7,160.69, 10,745.28 and 3,873.71 is: 5,812.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,160.69 : 10,745.28 = 3,873.71 : x
  2. Step 2: Convert to fraction form
    7,160.69/10,745.28 = 3,873.71/x
  3. Step 3: Cross multiply
    7,160.69x = 10,745.28 × 3,873.71
  4. Step 4: Simplify right side
    7,160.69x = 41,624,044.86
  5. Step 5: Solve for x
    x = 41,624,044.86/7,160.69
  6. Step 6: Final answer
    x = 5,812.86

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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.