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Finding the Fourth Proportional to 8,864.73, 13,297.86 and 2,290.86

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Solution

The fourth proportional to 8,864.73, 13,297.86 and 2,290.86 is: 3,436.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,864.73 : 13,297.86 = 2,290.86 : x
  2. Step 2: Convert to fraction form
    8,864.73/13,297.86 = 2,290.86/x
  3. Step 3: Cross multiply
    8,864.73x = 13,297.86 × 2,290.86
  4. Step 4: Simplify right side
    8,864.73x = 30,463,535.56
  5. Step 5: Solve for x
    x = 30,463,535.56/8,864.73
  6. Step 6: Final answer
    x = 3,436.49

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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.