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Finding the Fourth Proportional to 11,142, 16,717.76 and 5,592.48

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Solution

The fourth proportional to 11,142, 16,717.76 and 5,592.48 is: 8,391.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,142 : 16,717.76 = 5,592.48 : x
  2. Step 2: Convert to fraction form
    11,142/16,717.76 = 5,592.48/x
  3. Step 3: Cross multiply
    11,142x = 16,717.76 × 5,592.48
  4. Step 4: Simplify right side
    11,142x = 93,493,738.44
  5. Step 5: Solve for x
    x = 93,493,738.44/11,142
  6. Step 6: Final answer
    x = 8,391.11

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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.