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Finding the Fourth Proportional to 11,612.42, 17,418.84 and 2,847.40

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Solution

The fourth proportional to 11,612.42, 17,418.84 and 2,847.40 is: 4,271.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,612.42 : 17,418.84 = 2,847.40 : x
  2. Step 2: Convert to fraction form
    11,612.42/17,418.84 = 2,847.40/x
  3. Step 3: Cross multiply
    11,612.42x = 17,418.84 × 2,847.40
  4. Step 4: Simplify right side
    11,612.42x = 49,598,405.02
  5. Step 5: Solve for x
    x = 49,598,405.02/11,612.42
  6. Step 6: Final answer
    x = 4,271.15

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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.