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Finding the Fourth Proportional to 10,813.50, 16,191.03 and 5,608.44

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Solution

The fourth proportional to 10,813.50, 16,191.03 and 5,608.44 is: 8,397.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,813.50 : 16,191.03 = 5,608.44 : x
  2. Step 2: Convert to fraction form
    10,813.50/16,191.03 = 5,608.44/x
  3. Step 3: Cross multiply
    10,813.50x = 16,191.03 × 5,608.44
  4. Step 4: Simplify right side
    10,813.50x = 90,806,420.29
  5. Step 5: Solve for x
    x = 90,806,420.29/10,813.50
  6. Step 6: Final answer
    x = 8,397.50

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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.