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Finding the Fourth Proportional to 8,464.87, 12,689.01 and 3,535.92

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Solution

The fourth proportional to 8,464.87, 12,689.01 and 3,535.92 is: 5,300.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,464.87 : 12,689.01 = 3,535.92 : x
  2. Step 2: Convert to fraction form
    8,464.87/12,689.01 = 3,535.92/x
  3. Step 3: Cross multiply
    8,464.87x = 12,689.01 × 3,535.92
  4. Step 4: Simplify right side
    8,464.87x = 44,867,324.24
  5. Step 5: Solve for x
    x = 44,867,324.24/8,464.87
  6. Step 6: Final answer
    x = 5,300.42

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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.