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Finding the Fourth Proportional to 11,865.98, 17,811.04 and 5,947.14

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Solution

The fourth proportional to 11,865.98, 17,811.04 and 5,947.14 is: 8,926.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,865.98 : 17,811.04 = 5,947.14 : x
  2. Step 2: Convert to fraction form
    11,865.98/17,811.04 = 5,947.14/x
  3. Step 3: Cross multiply
    11,865.98x = 17,811.04 × 5,947.14
  4. Step 4: Simplify right side
    11,865.98x = 105,924,748.43
  5. Step 5: Solve for x
    x = 105,924,748.43/11,865.98
  6. Step 6: Final answer
    x = 8,926.76

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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.