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Finding the Fourth Proportional to 8,383.16, 12,571.72 and 3,116.96

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Solution

The fourth proportional to 8,383.16, 12,571.72 and 3,116.96 is: 4,674.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,383.16 : 12,571.72 = 3,116.96 : x
  2. Step 2: Convert to fraction form
    8,383.16/12,571.72 = 3,116.96/x
  3. Step 3: Cross multiply
    8,383.16x = 12,571.72 × 3,116.96
  4. Step 4: Simplify right side
    8,383.16x = 39,185,548.37
  5. Step 5: Solve for x
    x = 39,185,548.37/8,383.16
  6. Step 6: Final answer
    x = 4,674.32

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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.