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Finding the Fourth Proportional to 8,310.57, 11,455.12 and 7,231.07

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Solution

The fourth proportional to 8,310.57, 11,455.12 and 7,231.07 is: 9,967.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,310.57 : 11,455.12 = 7,231.07 : x
  2. Step 2: Convert to fraction form
    8,310.57/11,455.12 = 7,231.07/x
  3. Step 3: Cross multiply
    8,310.57x = 11,455.12 × 7,231.07
  4. Step 4: Simplify right side
    8,310.57x = 82,832,812.26
  5. Step 5: Solve for x
    x = 82,832,812.26/8,310.57
  6. Step 6: Final answer
    x = 9,967.17

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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.