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Finding the Fourth Proportional to 7,610.41, 11,418.21 and 4,100.78

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Solution

The fourth proportional to 7,610.41, 11,418.21 and 4,100.78 is: 6,152.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,610.41 : 11,418.21 = 4,100.78 : x
  2. Step 2: Convert to fraction form
    7,610.41/11,418.21 = 4,100.78/x
  3. Step 3: Cross multiply
    7,610.41x = 11,418.21 × 4,100.78
  4. Step 4: Simplify right side
    7,610.41x = 46,823,567.20
  5. Step 5: Solve for x
    x = 46,823,567.20/7,610.41
  6. Step 6: Final answer
    x = 6,152.57

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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.