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Finding the Fourth Proportional to 11,828.32, 16,322.79 and 6,523.03

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Solution

The fourth proportional to 11,828.32, 16,322.79 and 6,523.03 is: 9,001.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,828.32 : 16,322.79 = 6,523.03 : x
  2. Step 2: Convert to fraction form
    11,828.32/16,322.79 = 6,523.03/x
  3. Step 3: Cross multiply
    11,828.32x = 16,322.79 × 6,523.03
  4. Step 4: Simplify right side
    11,828.32x = 106,474,048.85
  5. Step 5: Solve for x
    x = 106,474,048.85/11,828.32
  6. Step 6: Final answer
    x = 9,001.62

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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.