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Finding the Fourth Proportional to 8,483.64, 12,723 and 3,553.14

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Solution

The fourth proportional to 8,483.64, 12,723 and 3,553.14 is: 5,328.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,483.64 : 12,723 = 3,553.14 : x
  2. Step 2: Convert to fraction form
    8,483.64/12,723 = 3,553.14/x
  3. Step 3: Cross multiply
    8,483.64x = 12,723 × 3,553.14
  4. Step 4: Simplify right side
    8,483.64x = 45,206,600.22
  5. Step 5: Solve for x
    x = 45,206,600.22/8,483.64
  6. Step 6: Final answer
    x = 5,328.68

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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.