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Finding the Fourth Proportional to 11,859.05, 16,365.98 and 6,823.28

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Solution

The fourth proportional to 11,859.05, 16,365.98 and 6,823.28 is: 9,416.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,859.05 : 16,365.98 = 6,823.28 : x
  2. Step 2: Convert to fraction form
    11,859.05/16,365.98 = 6,823.28/x
  3. Step 3: Cross multiply
    11,859.05x = 16,365.98 × 6,823.28
  4. Step 4: Simplify right side
    11,859.05x = 111,669,664.01
  5. Step 5: Solve for x
    x = 111,669,664.01/11,859.05
  6. Step 6: Final answer
    x = 9,416.41

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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.