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Finding the Fourth Proportional to 11,510.15, 17,268.87 and 4,114.44

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Solution

The fourth proportional to 11,510.15, 17,268.87 and 4,114.44 is: 6,172.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,510.15 : 17,268.87 = 4,114.44 : x
  2. Step 2: Convert to fraction form
    11,510.15/17,268.87 = 4,114.44/x
  3. Step 3: Cross multiply
    11,510.15x = 17,268.87 × 4,114.44
  4. Step 4: Simplify right side
    11,510.15x = 71,051,708.91
  5. Step 5: Solve for x
    x = 71,051,708.91/11,510.15
  6. Step 6: Final answer
    x = 6,172.96

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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.