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Finding the Fourth Proportional to 11,469.12, 17,203.36 and 3,678.40

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Solution

The fourth proportional to 11,469.12, 17,203.36 and 3,678.40 is: 5,517.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,469.12 : 17,203.36 = 3,678.40 : x
  2. Step 2: Convert to fraction form
    11,469.12/17,203.36 = 3,678.40/x
  3. Step 3: Cross multiply
    11,469.12x = 17,203.36 × 3,678.40
  4. Step 4: Simplify right side
    11,469.12x = 63,280,839.42
  5. Step 5: Solve for x
    x = 63,280,839.42/11,469.12
  6. Step 6: Final answer
    x = 5,517.50

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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.