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Finding the Fourth Proportional to 13,297.11, 18,349.77 and 7,328.80

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Solution

The fourth proportional to 13,297.11, 18,349.77 and 7,328.80 is: 10,113.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,297.11 : 18,349.77 = 7,328.80 : x
  2. Step 2: Convert to fraction form
    13,297.11/18,349.77 = 7,328.80/x
  3. Step 3: Cross multiply
    13,297.11x = 18,349.77 × 7,328.80
  4. Step 4: Simplify right side
    13,297.11x = 134,481,794.38
  5. Step 5: Solve for x
    x = 134,481,794.38/13,297.11
  6. Step 6: Final answer
    x = 10,113.61

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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.