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Finding the Fourth Proportional to 10,993.38, 15,166.66 and 8,128.98

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Solution

The fourth proportional to 10,993.38, 15,166.66 and 8,128.98 is: 11,214.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,993.38 : 15,166.66 = 8,128.98 : x
  2. Step 2: Convert to fraction form
    10,993.38/15,166.66 = 8,128.98/x
  3. Step 3: Cross multiply
    10,993.38x = 15,166.66 × 8,128.98
  4. Step 4: Simplify right side
    10,993.38x = 123,289,475.81
  5. Step 5: Solve for x
    x = 123,289,475.81/10,993.38
  6. Step 6: Final answer
    x = 11,214.88

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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.