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Finding the Fourth Proportional to 7,694.19, 11,542.40 and 2,427.41

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Solution

The fourth proportional to 7,694.19, 11,542.40 and 2,427.41 is: 3,641.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,694.19 : 11,542.40 = 2,427.41 : x
  2. Step 2: Convert to fraction form
    7,694.19/11,542.40 = 2,427.41/x
  3. Step 3: Cross multiply
    7,694.19x = 11,542.40 × 2,427.41
  4. Step 4: Simplify right side
    7,694.19x = 28,018,125.05
  5. Step 5: Solve for x
    x = 28,018,125.05/7,694.19
  6. Step 6: Final answer
    x = 3,641.47

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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.