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Finding the Fourth Proportional to 8,222.92, 12,335.16 and 2,299.81

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Solution

The fourth proportional to 8,222.92, 12,335.16 and 2,299.81 is: 3,449.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,222.92 : 12,335.16 = 2,299.81 : x
  2. Step 2: Convert to fraction form
    8,222.92/12,335.16 = 2,299.81/x
  3. Step 3: Cross multiply
    8,222.92x = 12,335.16 × 2,299.81
  4. Step 4: Simplify right side
    8,222.92x = 28,368,518.77
  5. Step 5: Solve for x
    x = 28,368,518.77/8,222.92
  6. Step 6: Final answer
    x = 3,449.93

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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.