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Finding the Fourth Proportional to 8,034.09, 11,054.11 and 7,847.66

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Solution

The fourth proportional to 8,034.09, 11,054.11 and 7,847.66 is: 10,797.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,034.09 : 11,054.11 = 7,847.66 : x
  2. Step 2: Convert to fraction form
    8,034.09/11,054.11 = 7,847.66/x
  3. Step 3: Cross multiply
    8,034.09x = 11,054.11 × 7,847.66
  4. Step 4: Simplify right side
    8,034.09x = 86,748,896.88
  5. Step 5: Solve for x
    x = 86,748,896.88/8,034.09
  6. Step 6: Final answer
    x = 10,797.60

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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.