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Finding the Fourth Proportional to 11,828.37, 16,323.03 and 6,523.23

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Solution

The fourth proportional to 11,828.37, 16,323.03 and 6,523.23 is: 9,001.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,828.37 : 16,323.03 = 6,523.23 : x
  2. Step 2: Convert to fraction form
    11,828.37/16,323.03 = 6,523.23/x
  3. Step 3: Cross multiply
    11,828.37x = 16,323.03 × 6,523.23
  4. Step 4: Simplify right side
    11,828.37x = 106,478,878.99
  5. Step 5: Solve for x
    x = 106,478,878.99/11,828.37
  6. Step 6: Final answer
    x = 9,001.99

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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.