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Finding the Fourth Proportional to 11,662.93, 16,094.88 and 6,357.64

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Solution

The fourth proportional to 11,662.93, 16,094.88 and 6,357.64 is: 8,773.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,662.93 : 16,094.88 = 6,357.64 : x
  2. Step 2: Convert to fraction form
    11,662.93/16,094.88 = 6,357.64/x
  3. Step 3: Cross multiply
    11,662.93x = 16,094.88 × 6,357.64
  4. Step 4: Simplify right side
    11,662.93x = 102,325,452.88
  5. Step 5: Solve for x
    x = 102,325,452.88/11,662.93
  6. Step 6: Final answer
    x = 8,773.56

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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.