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Finding the Fourth Proportional to 8,053.36, 11,165.12 and 7,768.24

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Solution

The fourth proportional to 8,053.36, 11,165.12 and 7,768.24 is: 10,769.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,053.36 : 11,165.12 = 7,768.24 : x
  2. Step 2: Convert to fraction form
    8,053.36/11,165.12 = 7,768.24/x
  3. Step 3: Cross multiply
    8,053.36x = 11,165.12 × 7,768.24
  4. Step 4: Simplify right side
    8,053.36x = 86,733,331.79
  5. Step 5: Solve for x
    x = 86,733,331.79/8,053.36
  6. Step 6: Final answer
    x = 10,769.83

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.