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Finding the Fourth Proportional to 11,851.12, 16,355.44 and 6,816.88

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Solution

The fourth proportional to 11,851.12, 16,355.44 and 6,816.88 is: 9,407.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,851.12 : 16,355.44 = 6,816.88 : x
  2. Step 2: Convert to fraction form
    11,851.12/16,355.44 = 6,816.88/x
  3. Step 3: Cross multiply
    11,851.12x = 16,355.44 × 6,816.88
  4. Step 4: Simplify right side
    11,851.12x = 111,493,071.83
  5. Step 5: Solve for x
    x = 111,493,071.83/11,851.12
  6. Step 6: Final answer
    x = 9,407.81

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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.