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Finding the Fourth Proportional to 8,331.23, 11,505.71 and 7,206.77

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Solution

The fourth proportional to 8,331.23, 11,505.71 and 7,206.77 is: 9,952.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,331.23 : 11,505.71 = 7,206.77 : x
  2. Step 2: Convert to fraction form
    8,331.23/11,505.71 = 7,206.77/x
  3. Step 3: Cross multiply
    8,331.23x = 11,505.71 × 7,206.77
  4. Step 4: Simplify right side
    8,331.23x = 82,918,969.62
  5. Step 5: Solve for x
    x = 82,918,969.62/8,331.23
  6. Step 6: Final answer
    x = 9,952.79

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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.