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Finding the Fourth Proportional to 8,216.07, 11,309.67 and 7,166.31

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Solution

The fourth proportional to 8,216.07, 11,309.67 and 7,166.31 is: 9,864.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,216.07 : 11,309.67 = 7,166.31 : x
  2. Step 2: Convert to fraction form
    8,216.07/11,309.67 = 7,166.31/x
  3. Step 3: Cross multiply
    8,216.07x = 11,309.67 × 7,166.31
  4. Step 4: Simplify right side
    8,216.07x = 81,048,601.22
  5. Step 5: Solve for x
    x = 81,048,601.22/8,216.07
  6. Step 6: Final answer
    x = 9,864.64

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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.