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Finding the Fourth Proportional to 8,234.47, 12,353.76 and 2,688.13

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Solution

The fourth proportional to 8,234.47, 12,353.76 and 2,688.13 is: 4,032.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,234.47 : 12,353.76 = 2,688.13 : x
  2. Step 2: Convert to fraction form
    8,234.47/12,353.76 = 2,688.13/x
  3. Step 3: Cross multiply
    8,234.47x = 12,353.76 × 2,688.13
  4. Step 4: Simplify right side
    8,234.47x = 33,208,512.87
  5. Step 5: Solve for x
    x = 33,208,512.87/8,234.47
  6. Step 6: Final answer
    x = 4,032.87

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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.