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Finding the Fourth Proportional to 8,857.14, 13,291.16 and 3,663

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Solution

The fourth proportional to 8,857.14, 13,291.16 and 3,663 is: 5,496.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,857.14 : 13,291.16 = 3,663 : x
  2. Step 2: Convert to fraction form
    8,857.14/13,291.16 = 3,663/x
  3. Step 3: Cross multiply
    8,857.14x = 13,291.16 × 3,663
  4. Step 4: Simplify right side
    8,857.14x = 48,685,519.08
  5. Step 5: Solve for x
    x = 48,685,519.08/8,857.14
  6. Step 6: Final answer
    x = 5,496.75

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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.