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Finding the Fourth Proportional to 8,255.14, 11,383.53 and 7,064.07

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Solution

The fourth proportional to 8,255.14, 11,383.53 and 7,064.07 is: 9,741.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,255.14 : 11,383.53 = 7,064.07 : x
  2. Step 2: Convert to fraction form
    8,255.14/11,383.53 = 7,064.07/x
  3. Step 3: Cross multiply
    8,255.14x = 11,383.53 × 7,064.07
  4. Step 4: Simplify right side
    8,255.14x = 80,414,015.48
  5. Step 5: Solve for x
    x = 80,414,015.48/8,255.14
  6. Step 6: Final answer
    x = 9,741.09

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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.