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Finding the Fourth Proportional to 10,842.38, 14,961.76 and 6,126.36

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Solution

The fourth proportional to 10,842.38, 14,961.76 and 6,126.36 is: 8,453.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,842.38 : 14,961.76 = 6,126.36 : x
  2. Step 2: Convert to fraction form
    10,842.38/14,961.76 = 6,126.36/x
  3. Step 3: Cross multiply
    10,842.38x = 14,961.76 × 6,126.36
  4. Step 4: Simplify right side
    10,842.38x = 91,661,127.99
  5. Step 5: Solve for x
    x = 91,661,127.99/10,842.38
  6. Step 6: Final answer
    x = 8,453.97

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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.