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Finding the Fourth Proportional to 11,855.42, 17,785.84 and 4,063.76

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Solution

The fourth proportional to 11,855.42, 17,785.84 and 4,063.76 is: 6,096.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,855.42 : 17,785.84 = 4,063.76 : x
  2. Step 2: Convert to fraction form
    11,855.42/17,785.84 = 4,063.76/x
  3. Step 3: Cross multiply
    11,855.42x = 17,785.84 × 4,063.76
  4. Step 4: Simplify right side
    11,855.42x = 72,277,385.16
  5. Step 5: Solve for x
    x = 72,277,385.16/11,855.42
  6. Step 6: Final answer
    x = 6,096.57

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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.