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Finding the Fourth Proportional to 11,793.42, 17,686.35 and 3,894.44

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Solution

The fourth proportional to 11,793.42, 17,686.35 and 3,894.44 is: 5,840.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,793.42 : 17,686.35 = 3,894.44 : x
  2. Step 2: Convert to fraction form
    11,793.42/17,686.35 = 3,894.44/x
  3. Step 3: Cross multiply
    11,793.42x = 17,686.35 × 3,894.44
  4. Step 4: Simplify right side
    11,793.42x = 68,878,340.46
  5. Step 5: Solve for x
    x = 68,878,340.46/11,793.42
  6. Step 6: Final answer
    x = 5,840.40

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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.