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Finding the Fourth Proportional to 8,448.02, 12,672.74 and 2,208.02

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Solution

The fourth proportional to 8,448.02, 12,672.74 and 2,208.02 is: 3,312.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,448.02 : 12,672.74 = 2,208.02 : x
  2. Step 2: Convert to fraction form
    8,448.02/12,672.74 = 2,208.02/x
  3. Step 3: Cross multiply
    8,448.02x = 12,672.74 × 2,208.02
  4. Step 4: Simplify right side
    8,448.02x = 27,981,663.37
  5. Step 5: Solve for x
    x = 27,981,663.37/8,448.02
  6. Step 6: Final answer
    x = 3,312.22

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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.