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Finding the Fourth Proportional to 8,534.08, 11,777.91 and 7,864.09

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Solution

The fourth proportional to 8,534.08, 11,777.91 and 7,864.09 is: 10,853.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,534.08 : 11,777.91 = 7,864.09 : x
  2. Step 2: Convert to fraction form
    8,534.08/11,777.91 = 7,864.09/x
  3. Step 3: Cross multiply
    8,534.08x = 11,777.91 × 7,864.09
  4. Step 4: Simplify right side
    8,534.08x = 92,622,485.32
  5. Step 5: Solve for x
    x = 92,622,485.32/8,534.08
  6. Step 6: Final answer
    x = 10,853.24

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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.