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Finding the Fourth Proportional to 8,424.15, 11,619.05 and 6,185.31

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Solution

The fourth proportional to 8,424.15, 11,619.05 and 6,185.31 is: 8,531.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,424.15 : 11,619.05 = 6,185.31 : x
  2. Step 2: Convert to fraction form
    8,424.15/11,619.05 = 6,185.31/x
  3. Step 3: Cross multiply
    8,424.15x = 11,619.05 × 6,185.31
  4. Step 4: Simplify right side
    8,424.15x = 71,867,395.23
  5. Step 5: Solve for x
    x = 71,867,395.23/8,424.15
  6. Step 6: Final answer
    x = 8,531.12

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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.