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Finding the Fourth Proportional to 8,102.81, 11,185.63 and 5,714.73

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Solution

The fourth proportional to 8,102.81, 11,185.63 and 5,714.73 is: 7,888.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,102.81 : 11,185.63 = 5,714.73 : x
  2. Step 2: Convert to fraction form
    8,102.81/11,185.63 = 5,714.73/x
  3. Step 3: Cross multiply
    8,102.81x = 11,185.63 × 5,714.73
  4. Step 4: Simplify right side
    8,102.81x = 63,922,841.04
  5. Step 5: Solve for x
    x = 63,922,841.04/8,102.81
  6. Step 6: Final answer
    x = 7,888.97

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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.