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Finding the Fourth Proportional to 11,859.63, 16,365.04 and 6,824.26

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Solution

The fourth proportional to 11,859.63, 16,365.04 and 6,824.26 is: 9,416.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,859.63 : 16,365.04 = 6,824.26 : x
  2. Step 2: Convert to fraction form
    11,859.63/16,365.04 = 6,824.26/x
  3. Step 3: Cross multiply
    11,859.63x = 16,365.04 × 6,824.26
  4. Step 4: Simplify right side
    11,859.63x = 111,679,287.87
  5. Step 5: Solve for x
    x = 111,679,287.87/11,859.63
  6. Step 6: Final answer
    x = 9,416.76

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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.