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Finding the Fourth Proportional to 8,205.92, 12,296.24 and 5,570

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Solution

The fourth proportional to 8,205.92, 12,296.24 and 5,570 is: 8,346.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,205.92 : 12,296.24 = 5,570 : x
  2. Step 2: Convert to fraction form
    8,205.92/12,296.24 = 5,570/x
  3. Step 3: Cross multiply
    8,205.92x = 12,296.24 × 5,570
  4. Step 4: Simplify right side
    8,205.92x = 68,490,056.80
  5. Step 5: Solve for x
    x = 68,490,056.80/8,205.92
  6. Step 6: Final answer
    x = 8,346.42

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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.