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Finding the Fourth Proportional to 8,208.96, 12,314.20 and 3,527.94

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Solution

The fourth proportional to 8,208.96, 12,314.20 and 3,527.94 is: 5,292.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,208.96 : 12,314.20 = 3,527.94 : x
  2. Step 2: Convert to fraction form
    8,208.96/12,314.20 = 3,527.94/x
  3. Step 3: Cross multiply
    8,208.96x = 12,314.20 × 3,527.94
  4. Step 4: Simplify right side
    8,208.96x = 43,443,758.75
  5. Step 5: Solve for x
    x = 43,443,758.75/8,208.96
  6. Step 6: Final answer
    x = 5,292.24

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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.