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Finding the Fourth Proportional to 8,379.82, 11,565.66 and 5,726.26

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Solution

The fourth proportional to 8,379.82, 11,565.66 and 5,726.26 is: 7,903.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,379.82 : 11,565.66 = 5,726.26 : x
  2. Step 2: Convert to fraction form
    8,379.82/11,565.66 = 5,726.26/x
  3. Step 3: Cross multiply
    8,379.82x = 11,565.66 × 5,726.26
  4. Step 4: Simplify right side
    8,379.82x = 66,227,976.23
  5. Step 5: Solve for x
    x = 66,227,976.23/8,379.82
  6. Step 6: Final answer
    x = 7,903.27

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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.