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Finding the Fourth Proportional to 11,867.44, 17,796.90 and 3,545.90

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Solution

The fourth proportional to 11,867.44, 17,796.90 and 3,545.90 is: 5,317.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,867.44 : 17,796.90 = 3,545.90 : x
  2. Step 2: Convert to fraction form
    11,867.44/17,796.90 = 3,545.90/x
  3. Step 3: Cross multiply
    11,867.44x = 17,796.90 × 3,545.90
  4. Step 4: Simplify right side
    11,867.44x = 63,106,072.20
  5. Step 5: Solve for x
    x = 63,106,072.20/11,867.44
  6. Step 6: Final answer
    x = 5,317.58

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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.