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Finding the Fourth Proportional to 8,311.07, 11,455.81 and 7,231.58

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Solution

The fourth proportional to 8,311.07, 11,455.81 and 7,231.58 is: 9,967.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,311.07 : 11,455.81 = 7,231.58 : x
  2. Step 2: Convert to fraction form
    8,311.07/11,455.81 = 7,231.58/x
  3. Step 3: Cross multiply
    8,311.07x = 11,455.81 × 7,231.58
  4. Step 4: Simplify right side
    8,311.07x = 82,843,549.20
  5. Step 5: Solve for x
    x = 82,843,549.20/8,311.07
  6. Step 6: Final answer
    x = 9,967.86

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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.