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Finding the Fourth Proportional to 11,132, 16,683.42 and 6,203.96

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Solution

The fourth proportional to 11,132, 16,683.42 and 6,203.96 is: 9,297.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,132 : 16,683.42 = 6,203.96 : x
  2. Step 2: Convert to fraction form
    11,132/16,683.42 = 6,203.96/x
  3. Step 3: Cross multiply
    11,132x = 16,683.42 × 6,203.96
  4. Step 4: Simplify right side
    11,132x = 103,503,270.34
  5. Step 5: Solve for x
    x = 103,503,270.34/11,132
  6. Step 6: Final answer
    x = 9,297.81

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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.