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Finding the Fourth Proportional to 8,176.92, 12,262.43 and 3,497.26

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Solution

The fourth proportional to 8,176.92, 12,262.43 and 3,497.26 is: 5,244.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,176.92 : 12,262.43 = 3,497.26 : x
  2. Step 2: Convert to fraction form
    8,176.92/12,262.43 = 3,497.26/x
  3. Step 3: Cross multiply
    8,176.92x = 12,262.43 × 3,497.26
  4. Step 4: Simplify right side
    8,176.92x = 42,884,905.94
  5. Step 5: Solve for x
    x = 42,884,905.94/8,176.92
  6. Step 6: Final answer
    x = 5,244.63

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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.