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Finding the Fourth Proportional to 8,662.36, 12,993 and 2,506.36

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Solution

The fourth proportional to 8,662.36, 12,993 and 2,506.36 is: 3,759.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,662.36 : 12,993 = 2,506.36 : x
  2. Step 2: Convert to fraction form
    8,662.36/12,993 = 2,506.36/x
  3. Step 3: Cross multiply
    8,662.36x = 12,993 × 2,506.36
  4. Step 4: Simplify right side
    8,662.36x = 32,565,135.48
  5. Step 5: Solve for x
    x = 32,565,135.48/8,662.36
  6. Step 6: Final answer
    x = 3,759.38

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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.