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Finding the Fourth Proportional to 7,684.88, 11,517.60 and 4,910.48

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Solution

The fourth proportional to 7,684.88, 11,517.60 and 4,910.48 is: 7,359.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,684.88 : 11,517.60 = 4,910.48 : x
  2. Step 2: Convert to fraction form
    7,684.88/11,517.60 = 4,910.48/x
  3. Step 3: Cross multiply
    7,684.88x = 11,517.60 × 4,910.48
  4. Step 4: Simplify right side
    7,684.88x = 56,556,944.45
  5. Step 5: Solve for x
    x = 56,556,944.45/7,684.88
  6. Step 6: Final answer
    x = 7,359.51

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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.