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Finding the Fourth Proportional to 8,596.94, 12,883.25 and 3,661.61

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Solution

The fourth proportional to 8,596.94, 12,883.25 and 3,661.61 is: 5,487.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,596.94 : 12,883.25 = 3,661.61 : x
  2. Step 2: Convert to fraction form
    8,596.94/12,883.25 = 3,661.61/x
  3. Step 3: Cross multiply
    8,596.94x = 12,883.25 × 3,661.61
  4. Step 4: Simplify right side
    8,596.94x = 47,173,437.03
  5. Step 5: Solve for x
    x = 47,173,437.03/8,596.94
  6. Step 6: Final answer
    x = 5,487.24

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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.