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Finding the Fourth Proportional to 8,416.93, 11,619.82 and 6,524.26

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Solution

The fourth proportional to 8,416.93, 11,619.82 and 6,524.26 is: 9,006.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,416.93 : 11,619.82 = 6,524.26 : x
  2. Step 2: Convert to fraction form
    8,416.93/11,619.82 = 6,524.26/x
  3. Step 3: Cross multiply
    8,416.93x = 11,619.82 × 6,524.26
  4. Step 4: Simplify right side
    8,416.93x = 75,810,726.83
  5. Step 5: Solve for x
    x = 75,810,726.83/8,416.93
  6. Step 6: Final answer
    x = 9,006.93

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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.