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Finding the Fourth Proportional to 10,651.38, 14,699.25 and 5,935.38

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Solution

The fourth proportional to 10,651.38, 14,699.25 and 5,935.38 is: 8,191.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,651.38 : 14,699.25 = 5,935.38 : x
  2. Step 2: Convert to fraction form
    10,651.38/14,699.25 = 5,935.38/x
  3. Step 3: Cross multiply
    10,651.38x = 14,699.25 × 5,935.38
  4. Step 4: Simplify right side
    10,651.38x = 87,245,634.47
  5. Step 5: Solve for x
    x = 87,245,634.47/10,651.38
  6. Step 6: Final answer
    x = 8,191.02

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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.