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Finding the Fourth Proportional to 8,466.54, 11,677.41 and 7,416.78

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Solution

The fourth proportional to 8,466.54, 11,677.41 and 7,416.78 is: 10,229.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,466.54 : 11,677.41 = 7,416.78 : x
  2. Step 2: Convert to fraction form
    8,466.54/11,677.41 = 7,416.78/x
  3. Step 3: Cross multiply
    8,466.54x = 11,677.41 × 7,416.78
  4. Step 4: Simplify right side
    8,466.54x = 86,608,780.94
  5. Step 5: Solve for x
    x = 86,608,780.94/8,466.54
  6. Step 6: Final answer
    x = 10,229.54

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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.