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Finding the Fourth Proportional to 8,653.74, 12,982.23 and 3,722.46

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Solution

The fourth proportional to 8,653.74, 12,982.23 and 3,722.46 is: 5,584.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,653.74 : 12,982.23 = 3,722.46 : x
  2. Step 2: Convert to fraction form
    8,653.74/12,982.23 = 3,722.46/x
  3. Step 3: Cross multiply
    8,653.74x = 12,982.23 × 3,722.46
  4. Step 4: Simplify right side
    8,653.74x = 48,325,831.89
  5. Step 5: Solve for x
    x = 48,325,831.89/8,653.74
  6. Step 6: Final answer
    x = 5,584.39

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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.