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Finding the Fourth Proportional to 11,542.86, 15,930.84 and 6,828.66

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Solution

The fourth proportional to 11,542.86, 15,930.84 and 6,828.66 is: 9,424.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,542.86 : 15,930.84 = 6,828.66 : x
  2. Step 2: Convert to fraction form
    11,542.86/15,930.84 = 6,828.66/x
  3. Step 3: Cross multiply
    11,542.86x = 15,930.84 × 6,828.66
  4. Step 4: Simplify right side
    11,542.86x = 108,786,289.87
  5. Step 5: Solve for x
    x = 108,786,289.87/11,542.86
  6. Step 6: Final answer
    x = 9,424.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.