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Finding the Fourth Proportional to 8,993.57, 13,446 and 7,622.24

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Solution

The fourth proportional to 8,993.57, 13,446 and 7,622.24 is: 11,395.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,993.57 : 13,446 = 7,622.24 : x
  2. Step 2: Convert to fraction form
    8,993.57/13,446 = 7,622.24/x
  3. Step 3: Cross multiply
    8,993.57x = 13,446 × 7,622.24
  4. Step 4: Simplify right side
    8,993.57x = 102,488,571.81
  5. Step 5: Solve for x
    x = 102,488,571.81/8,993.57
  6. Step 6: Final answer
    x = 11,395.77

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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.