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Finding the Fourth Proportional to 8,497.09, 12,753.74 and 5,216.59

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Solution

The fourth proportional to 8,497.09, 12,753.74 and 5,216.59 is: 7,829.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,497.09 : 12,753.74 = 5,216.59 : x
  2. Step 2: Convert to fraction form
    8,497.09/12,753.74 = 5,216.59/x
  3. Step 3: Cross multiply
    8,497.09x = 12,753.74 × 5,216.59
  4. Step 4: Simplify right side
    8,497.09x = 66,530,960.45
  5. Step 5: Solve for x
    x = 66,530,960.45/8,497.09
  6. Step 6: Final answer
    x = 7,829.86

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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.