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Finding the Fourth Proportional to 8,234.72, 12,352.47 and 2,688.06

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Solution

The fourth proportional to 8,234.72, 12,352.47 and 2,688.06 is: 4,032.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,234.72 : 12,352.47 = 2,688.06 : x
  2. Step 2: Convert to fraction form
    8,234.72/12,352.47 = 2,688.06/x
  3. Step 3: Cross multiply
    8,234.72x = 12,352.47 × 2,688.06
  4. Step 4: Simplify right side
    8,234.72x = 33,204,180.51
  5. Step 5: Solve for x
    x = 33,204,180.51/8,234.72
  6. Step 6: Final answer
    x = 4,032.22

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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.