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Finding the Fourth Proportional to 11,610.38, 16,022.93 and 6,830.57

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Solution

The fourth proportional to 11,610.38, 16,022.93 and 6,830.57 is: 9,426.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,610.38 : 16,022.93 = 6,830.57 : x
  2. Step 2: Convert to fraction form
    11,610.38/16,022.93 = 6,830.57/x
  3. Step 3: Cross multiply
    11,610.38x = 16,022.93 × 6,830.57
  4. Step 4: Simplify right side
    11,610.38x = 109,445,630.70
  5. Step 5: Solve for x
    x = 109,445,630.70/11,610.38
  6. Step 6: Final answer
    x = 9,426.54

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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.