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Finding the Fourth Proportional to 8,152.92, 12,222.47 and 3,226.03

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Solution

The fourth proportional to 8,152.92, 12,222.47 and 3,226.03 is: 4,836.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,152.92 : 12,222.47 = 3,226.03 : x
  2. Step 2: Convert to fraction form
    8,152.92/12,222.47 = 3,226.03/x
  3. Step 3: Cross multiply
    8,152.92x = 12,222.47 × 3,226.03
  4. Step 4: Simplify right side
    8,152.92x = 39,430,038.76
  5. Step 5: Solve for x
    x = 39,430,038.76/8,152.92
  6. Step 6: Final answer
    x = 4,836.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.