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Finding the Fourth Proportional to 8,234.52, 12,351.76 and 2,762.52

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Solution

The fourth proportional to 8,234.52, 12,351.76 and 2,762.52 is: 4,143.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,234.52 : 12,351.76 = 2,762.52 : x
  2. Step 2: Convert to fraction form
    8,234.52/12,351.76 = 2,762.52/x
  3. Step 3: Cross multiply
    8,234.52x = 12,351.76 × 2,762.52
  4. Step 4: Simplify right side
    8,234.52x = 34,121,984.04
  5. Step 5: Solve for x
    x = 34,121,984.04/8,234.52
  6. Step 6: Final answer
    x = 4,143.77

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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.