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Finding the Fourth Proportional to 11,785.56, 17,674.57 and 3,886.60

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Solution

The fourth proportional to 11,785.56, 17,674.57 and 3,886.60 is: 5,828.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,785.56 : 17,674.57 = 3,886.60 : x
  2. Step 2: Convert to fraction form
    11,785.56/17,674.57 = 3,886.60/x
  3. Step 3: Cross multiply
    11,785.56x = 17,674.57 × 3,886.60
  4. Step 4: Simplify right side
    11,785.56x = 68,693,983.76
  5. Step 5: Solve for x
    x = 68,693,983.76/11,785.56
  6. Step 6: Final answer
    x = 5,828.66

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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.