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Finding the Fourth Proportional to 10,625.38, 14,663.19 and 5,845.70

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Solution

The fourth proportional to 10,625.38, 14,663.19 and 5,845.70 is: 8,067.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,625.38 : 14,663.19 = 5,845.70 : x
  2. Step 2: Convert to fraction form
    10,625.38/14,663.19 = 5,845.70/x
  3. Step 3: Cross multiply
    10,625.38x = 14,663.19 × 5,845.70
  4. Step 4: Simplify right side
    10,625.38x = 85,716,668.36
  5. Step 5: Solve for x
    x = 85,716,668.36/10,625.38
  6. Step 6: Final answer
    x = 8,067.16

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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.