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Finding the Fourth Proportional to 8,242.92, 12,362.22 and 3,855.96

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Solution

The fourth proportional to 8,242.92, 12,362.22 and 3,855.96 is: 5,782.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,242.92 : 12,362.22 = 3,855.96 : x
  2. Step 2: Convert to fraction form
    8,242.92/12,362.22 = 3,855.96/x
  3. Step 3: Cross multiply
    8,242.92x = 12,362.22 × 3,855.96
  4. Step 4: Simplify right side
    8,242.92x = 47,668,225.83
  5. Step 5: Solve for x
    x = 47,668,225.83/8,242.92
  6. Step 6: Final answer
    x = 5,782.93

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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.