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Finding the Fourth Proportional to 11,855.30, 17,780.87 and 3,956.92

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Solution

The fourth proportional to 11,855.30, 17,780.87 and 3,956.92 is: 5,934.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,855.30 : 17,780.87 = 3,956.92 : x
  2. Step 2: Convert to fraction form
    11,855.30/17,780.87 = 3,956.92/x
  3. Step 3: Cross multiply
    11,855.30x = 17,780.87 × 3,956.92
  4. Step 4: Simplify right side
    11,855.30x = 70,357,445.56
  5. Step 5: Solve for x
    x = 70,357,445.56/11,855.30
  6. Step 6: Final answer
    x = 5,934.69

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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.