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Finding the Fourth Proportional to 11,612.16, 17,418.24 and 3,823.20

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Solution

The fourth proportional to 11,612.16, 17,418.24 and 3,823.20 is: 5,734.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,612.16 : 17,418.24 = 3,823.20 : x
  2. Step 2: Convert to fraction form
    11,612.16/17,418.24 = 3,823.20/x
  3. Step 3: Cross multiply
    11,612.16x = 17,418.24 × 3,823.20
  4. Step 4: Simplify right side
    11,612.16x = 66,593,415.17
  5. Step 5: Solve for x
    x = 66,593,415.17/11,612.16
  6. Step 6: Final answer
    x = 5,734.80

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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.