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Finding the Fourth Proportional to 8,466.90, 11,678.49 and 5,954.28

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Solution

The fourth proportional to 8,466.90, 11,678.49 and 5,954.28 is: 8,212.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,466.90 : 11,678.49 = 5,954.28 : x
  2. Step 2: Convert to fraction form
    8,466.90/11,678.49 = 5,954.28/x
  3. Step 3: Cross multiply
    8,466.90x = 11,678.49 × 5,954.28
  4. Step 4: Simplify right side
    8,466.90x = 69,536,999.44
  5. Step 5: Solve for x
    x = 69,536,999.44/8,466.90
  6. Step 6: Final answer
    x = 8,212.81

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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.