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Finding the Fourth Proportional to 8,234.71, 12,354.03 and 2,688.06

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Solution

The fourth proportional to 8,234.71, 12,354.03 and 2,688.06 is: 4,032.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,234.71 : 12,354.03 = 2,688.06 : x
  2. Step 2: Convert to fraction form
    8,234.71/12,354.03 = 2,688.06/x
  3. Step 3: Cross multiply
    8,234.71x = 12,354.03 × 2,688.06
  4. Step 4: Simplify right side
    8,234.71x = 33,208,360.44
  5. Step 5: Solve for x
    x = 33,208,360.44/8,234.71
  6. Step 6: Final answer
    x = 4,032.73

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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.