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Finding the Fourth Proportional to 11,635.20, 16,054.72 and 7,657.92

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Solution

The fourth proportional to 11,635.20, 16,054.72 and 7,657.92 is: 10,566.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,635.20 : 16,054.72 = 7,657.92 : x
  2. Step 2: Convert to fraction form
    11,635.20/16,054.72 = 7,657.92/x
  3. Step 3: Cross multiply
    11,635.20x = 16,054.72 × 7,657.92
  4. Step 4: Simplify right side
    11,635.20x = 122,945,761.38
  5. Step 5: Solve for x
    x = 122,945,761.38/11,635.20
  6. Step 6: Final answer
    x = 10,566.71

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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.