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Finding the Fourth Proportional to 10,369.86, 14,310.75 and 5,893.38

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Solution

The fourth proportional to 10,369.86, 14,310.75 and 5,893.38 is: 8,133.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,369.86 : 14,310.75 = 5,893.38 : x
  2. Step 2: Convert to fraction form
    10,369.86/14,310.75 = 5,893.38/x
  3. Step 3: Cross multiply
    10,369.86x = 14,310.75 × 5,893.38
  4. Step 4: Simplify right side
    10,369.86x = 84,338,687.84
  5. Step 5: Solve for x
    x = 84,338,687.84/10,369.86
  6. Step 6: Final answer
    x = 8,133.06

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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.