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Finding the Fourth Proportional to 8,422.02, 11,622.47 and 4,645.34

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Solution

The fourth proportional to 8,422.02, 11,622.47 and 4,645.34 is: 6,410.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,422.02 : 11,622.47 = 4,645.34 : x
  2. Step 2: Convert to fraction form
    8,422.02/11,622.47 = 4,645.34/x
  3. Step 3: Cross multiply
    8,422.02x = 11,622.47 × 4,645.34
  4. Step 4: Simplify right side
    8,422.02x = 53,990,324.79
  5. Step 5: Solve for x
    x = 53,990,324.79/8,422.02
  6. Step 6: Final answer
    x = 6,410.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.