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Finding the Fourth Proportional to 7,712.78, 11,540.75 and 5,454.64

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Solution

The fourth proportional to 7,712.78, 11,540.75 and 5,454.64 is: 8,161.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,712.78 : 11,540.75 = 5,454.64 : x
  2. Step 2: Convert to fraction form
    7,712.78/11,540.75 = 5,454.64/x
  3. Step 3: Cross multiply
    7,712.78x = 11,540.75 × 5,454.64
  4. Step 4: Simplify right side
    7,712.78x = 62,950,636.58
  5. Step 5: Solve for x
    x = 62,950,636.58/7,712.78
  6. Step 6: Final answer
    x = 8,161.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.