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Finding the Fourth Proportional to 10,149.19, 14,008.59 and 5,960.23

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Solution

The fourth proportional to 10,149.19, 14,008.59 and 5,960.23 is: 8,226.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,149.19 : 14,008.59 = 5,960.23 : x
  2. Step 2: Convert to fraction form
    10,149.19/14,008.59 = 5,960.23/x
  3. Step 3: Cross multiply
    10,149.19x = 14,008.59 × 5,960.23
  4. Step 4: Simplify right side
    10,149.19x = 83,494,418.38
  5. Step 5: Solve for x
    x = 83,494,418.38/10,149.19
  6. Step 6: Final answer
    x = 8,226.71

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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.