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Finding the Fourth Proportional to 11,787.93, 17,680.48 and 3,468.02

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Solution

The fourth proportional to 11,787.93, 17,680.48 and 3,468.02 is: 5,201.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,787.93 : 17,680.48 = 3,468.02 : x
  2. Step 2: Convert to fraction form
    11,787.93/17,680.48 = 3,468.02/x
  3. Step 3: Cross multiply
    11,787.93x = 17,680.48 × 3,468.02
  4. Step 4: Simplify right side
    11,787.93x = 61,316,161.18
  5. Step 5: Solve for x
    x = 61,316,161.18/11,787.93
  6. Step 6: Final answer
    x = 5,201.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.