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Finding the Fourth Proportional to 11,564.68, 17,349.78 and 3,773.50

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Solution

The fourth proportional to 11,564.68, 17,349.78 and 3,773.50 is: 5,661.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,564.68 : 17,349.78 = 3,773.50 : x
  2. Step 2: Convert to fraction form
    11,564.68/17,349.78 = 3,773.50/x
  3. Step 3: Cross multiply
    11,564.68x = 17,349.78 × 3,773.50
  4. Step 4: Simplify right side
    11,564.68x = 65,469,394.83
  5. Step 5: Solve for x
    x = 65,469,394.83/11,564.68
  6. Step 6: Final answer
    x = 5,661.15

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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.