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Finding the Fourth Proportional to 11,888.20, 17,835.12 and 4,096.84

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Solution

The fourth proportional to 11,888.20, 17,835.12 and 4,096.84 is: 6,146.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,888.20 : 17,835.12 = 4,096.84 : x
  2. Step 2: Convert to fraction form
    11,888.20/17,835.12 = 4,096.84/x
  3. Step 3: Cross multiply
    11,888.20x = 17,835.12 × 4,096.84
  4. Step 4: Simplify right side
    11,888.20x = 73,067,633.02
  5. Step 5: Solve for x
    x = 73,067,633.02/11,888.20
  6. Step 6: Final answer
    x = 6,146.23

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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.