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Finding the Fourth Proportional to 11,828.43, 16,322.85 and 6,523.20

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Solution

The fourth proportional to 11,828.43, 16,322.85 and 6,523.20 is: 9,001.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,828.43 : 16,322.85 = 6,523.20 : x
  2. Step 2: Convert to fraction form
    11,828.43/16,322.85 = 6,523.20/x
  3. Step 3: Cross multiply
    11,828.43x = 16,322.85 × 6,523.20
  4. Step 4: Simplify right side
    11,828.43x = 106,477,215.12
  5. Step 5: Solve for x
    x = 106,477,215.12/11,828.43
  6. Step 6: Final answer
    x = 9,001.80

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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.