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Finding the Fourth Proportional to 8,863.46, 13,286.98 and 4,965.13

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Solution

The fourth proportional to 8,863.46, 13,286.98 and 4,965.13 is: 7,443.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,863.46 : 13,286.98 = 4,965.13 : x
  2. Step 2: Convert to fraction form
    8,863.46/13,286.98 = 4,965.13/x
  3. Step 3: Cross multiply
    8,863.46x = 13,286.98 × 4,965.13
  4. Step 4: Simplify right side
    8,863.46x = 65,971,491.75
  5. Step 5: Solve for x
    x = 65,971,491.75/8,863.46
  6. Step 6: Final answer
    x = 7,443.09

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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.