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Finding the Fourth Proportional to 11,142.50, 15,391.62 and 8,919.86

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Solution

The fourth proportional to 11,142.50, 15,391.62 and 8,919.86 is: 12,321.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,142.50 : 15,391.62 = 8,919.86 : x
  2. Step 2: Convert to fraction form
    11,142.50/15,391.62 = 8,919.86/x
  3. Step 3: Cross multiply
    11,142.50x = 15,391.62 × 8,919.86
  4. Step 4: Simplify right side
    11,142.50x = 137,291,018.62
  5. Step 5: Solve for x
    x = 137,291,018.62/11,142.50
  6. Step 6: Final answer
    x = 12,321.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.