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Finding the Fourth Proportional to 7,574.92, 11,363.37 and 2,645.98

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Solution

The fourth proportional to 7,574.92, 11,363.37 and 2,645.98 is: 3,969.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,574.92 : 11,363.37 = 2,645.98 : x
  2. Step 2: Convert to fraction form
    7,574.92/11,363.37 = 2,645.98/x
  3. Step 3: Cross multiply
    7,574.92x = 11,363.37 × 2,645.98
  4. Step 4: Simplify right side
    7,574.92x = 30,067,249.75
  5. Step 5: Solve for x
    x = 30,067,249.75/7,574.92
  6. Step 6: Final answer
    x = 3,969.32

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Why These Related Problems?

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