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Finding the Fourth Proportional to 10,736.38, 14,808.71 and 10,375.12

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Solution

The fourth proportional to 10,736.38, 14,808.71 and 10,375.12 is: 14,310.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,736.38 : 14,808.71 = 10,375.12 : x
  2. Step 2: Convert to fraction form
    10,736.38/14,808.71 = 10,375.12/x
  3. Step 3: Cross multiply
    10,736.38x = 14,808.71 × 10,375.12
  4. Step 4: Simplify right side
    10,736.38x = 153,642,143.30
  5. Step 5: Solve for x
    x = 153,642,143.30/10,736.38
  6. Step 6: Final answer
    x = 14,310.42

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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.