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Finding the Fourth Proportional to 8,239.32, 11,368.62 and 4,884.66

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Solution

The fourth proportional to 8,239.32, 11,368.62 and 4,884.66 is: 6,739.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,239.32 : 11,368.62 = 4,884.66 : x
  2. Step 2: Convert to fraction form
    8,239.32/11,368.62 = 4,884.66/x
  3. Step 3: Cross multiply
    8,239.32x = 11,368.62 × 4,884.66
  4. Step 4: Simplify right side
    8,239.32x = 55,531,843.37
  5. Step 5: Solve for x
    x = 55,531,843.37/8,239.32
  6. Step 6: Final answer
    x = 6,739.86

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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.