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Finding the Fourth Proportional to 11,856.38, 17,776.36 and 7,177.61

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Solution

The fourth proportional to 11,856.38, 17,776.36 and 7,177.61 is: 10,761.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,856.38 : 17,776.36 = 7,177.61 : x
  2. Step 2: Convert to fraction form
    11,856.38/17,776.36 = 7,177.61/x
  3. Step 3: Cross multiply
    11,856.38x = 17,776.36 × 7,177.61
  4. Step 4: Simplify right side
    11,856.38x = 127,591,832.71
  5. Step 5: Solve for x
    x = 127,591,832.71/11,856.38
  6. Step 6: Final answer
    x = 10,761.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.