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Finding the Fourth Proportional to 8,466.25, 11,683.29 and 6,675.61

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Solution

The fourth proportional to 8,466.25, 11,683.29 and 6,675.61 is: 9,212.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,466.25 : 11,683.29 = 6,675.61 : x
  2. Step 2: Convert to fraction form
    8,466.25/11,683.29 = 6,675.61/x
  3. Step 3: Cross multiply
    8,466.25x = 11,683.29 × 6,675.61
  4. Step 4: Simplify right side
    8,466.25x = 77,993,087.56
  5. Step 5: Solve for x
    x = 77,993,087.56/8,466.25
  6. Step 6: Final answer
    x = 9,212.24

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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.