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Finding the Fourth Proportional to 11,858.41, 16,365.36 and 6,822.64

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Solution

The fourth proportional to 11,858.41, 16,365.36 and 6,822.64 is: 9,415.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,858.41 : 16,365.36 = 6,822.64 : x
  2. Step 2: Convert to fraction form
    11,858.41/16,365.36 = 6,822.64/x
  3. Step 3: Cross multiply
    11,858.41x = 16,365.36 × 6,822.64
  4. Step 4: Simplify right side
    11,858.41x = 111,654,959.75
  5. Step 5: Solve for x
    x = 111,654,959.75/11,858.41
  6. Step 6: Final answer
    x = 9,415.68

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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.