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Finding the Fourth Proportional to 11,828.62, 16,321.89 and 6,523.66

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Solution

The fourth proportional to 11,828.62, 16,321.89 and 6,523.66 is: 9,001.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,828.62 : 16,321.89 = 6,523.66 : x
  2. Step 2: Convert to fraction form
    11,828.62/16,321.89 = 6,523.66/x
  3. Step 3: Cross multiply
    11,828.62x = 16,321.89 × 6,523.66
  4. Step 4: Simplify right side
    11,828.62x = 106,478,460.92
  5. Step 5: Solve for x
    x = 106,478,460.92/11,828.62
  6. Step 6: Final answer
    x = 9,001.77

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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.