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Finding the Fourth Proportional to 11,895.06, 16,422.75 and 7,425.38

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Solution

The fourth proportional to 11,895.06, 16,422.75 and 7,425.38 is: 10,251.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,895.06 : 16,422.75 = 7,425.38 : x
  2. Step 2: Convert to fraction form
    11,895.06/16,422.75 = 7,425.38/x
  3. Step 3: Cross multiply
    11,895.06x = 16,422.75 × 7,425.38
  4. Step 4: Simplify right side
    11,895.06x = 121,945,077.28
  5. Step 5: Solve for x
    x = 121,945,077.28/11,895.06
  6. Step 6: Final answer
    x = 10,251.74

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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.