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Finding the Fourth Proportional to 7,694.94, 11,542.83 and 2,430.07

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Solution

The fourth proportional to 7,694.94, 11,542.83 and 2,430.07 is: 3,645.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,694.94 : 11,542.83 = 2,430.07 : x
  2. Step 2: Convert to fraction form
    7,694.94/11,542.83 = 2,430.07/x
  3. Step 3: Cross multiply
    7,694.94x = 11,542.83 × 2,430.07
  4. Step 4: Simplify right side
    7,694.94x = 28,049,884.90
  5. Step 5: Solve for x
    x = 28,049,884.90/7,694.94
  6. Step 6: Final answer
    x = 3,645.24

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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.