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Finding the Fourth Proportional to 8,612.24, 12,918.28 and 3,677.68

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Solution

The fourth proportional to 8,612.24, 12,918.28 and 3,677.68 is: 5,516.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,612.24 : 12,918.28 = 3,677.68 : x
  2. Step 2: Convert to fraction form
    8,612.24/12,918.28 = 3,677.68/x
  3. Step 3: Cross multiply
    8,612.24x = 12,918.28 × 3,677.68
  4. Step 4: Simplify right side
    8,612.24x = 47,509,299.99
  5. Step 5: Solve for x
    x = 47,509,299.99/8,612.24
  6. Step 6: Final answer
    x = 5,516.49

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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.