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Finding the Fourth Proportional to 8,324.44, 12,416.21 and 7,220.02

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Solution

The fourth proportional to 8,324.44, 12,416.21 and 7,220.02 is: 10,768.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,324.44 : 12,416.21 = 7,220.02 : x
  2. Step 2: Convert to fraction form
    8,324.44/12,416.21 = 7,220.02/x
  3. Step 3: Cross multiply
    8,324.44x = 12,416.21 × 7,220.02
  4. Step 4: Simplify right side
    8,324.44x = 89,645,284.52
  5. Step 5: Solve for x
    x = 89,645,284.52/8,324.44
  6. Step 6: Final answer
    x = 10,768.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.