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Finding the Fourth Proportional to 11,102.78, 16,657.42 and 3,712.43

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Solution

The fourth proportional to 11,102.78, 16,657.42 and 3,712.43 is: 5,569.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,102.78 : 16,657.42 = 3,712.43 : x
  2. Step 2: Convert to fraction form
    11,102.78/16,657.42 = 3,712.43/x
  3. Step 3: Cross multiply
    11,102.78x = 16,657.42 × 3,712.43
  4. Step 4: Simplify right side
    11,102.78x = 61,839,555.50
  5. Step 5: Solve for x
    x = 61,839,555.50/11,102.78
  6. Step 6: Final answer
    x = 5,569.73

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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.