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Finding the Fourth Proportional to 10,990.83, 15,149.61 and 8,596.56

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Solution

The fourth proportional to 10,990.83, 15,149.61 and 8,596.56 is: 11,849.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,990.83 : 15,149.61 = 8,596.56 : x
  2. Step 2: Convert to fraction form
    10,990.83/15,149.61 = 8,596.56/x
  3. Step 3: Cross multiply
    10,990.83x = 15,149.61 × 8,596.56
  4. Step 4: Simplify right side
    10,990.83x = 130,234,531.34
  5. Step 5: Solve for x
    x = 130,234,531.34/10,990.83
  6. Step 6: Final answer
    x = 11,849.38

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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.