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Finding the Fourth Proportional to 13,462.71, 18,578.38 and 7,873.71

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Solution

The fourth proportional to 13,462.71, 18,578.38 and 7,873.71 is: 10,865.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,462.71 : 18,578.38 = 7,873.71 : x
  2. Step 2: Convert to fraction form
    13,462.71/18,578.38 = 7,873.71/x
  3. Step 3: Cross multiply
    13,462.71x = 18,578.38 × 7,873.71
  4. Step 4: Simplify right side
    13,462.71x = 146,280,776.39
  5. Step 5: Solve for x
    x = 146,280,776.39/13,462.71
  6. Step 6: Final answer
    x = 10,865.63

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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.