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Finding the Fourth Proportional to 11,102.86, 16,649.43 and 4,172.50

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Solution

The fourth proportional to 11,102.86, 16,649.43 and 4,172.50 is: 6,256.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,102.86 : 16,649.43 = 4,172.50 : x
  2. Step 2: Convert to fraction form
    11,102.86/16,649.43 = 4,172.50/x
  3. Step 3: Cross multiply
    11,102.86x = 16,649.43 × 4,172.50
  4. Step 4: Simplify right side
    11,102.86x = 69,469,746.68
  5. Step 5: Solve for x
    x = 69,469,746.68/11,102.86
  6. Step 6: Final answer
    x = 6,256.92

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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.