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Finding the Fourth Proportional to 8,207.31, 12,311.70 and 3,527.55

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Solution

The fourth proportional to 8,207.31, 12,311.70 and 3,527.55 is: 5,291.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,207.31 : 12,311.70 = 3,527.55 : x
  2. Step 2: Convert to fraction form
    8,207.31/12,311.70 = 3,527.55/x
  3. Step 3: Cross multiply
    8,207.31x = 12,311.70 × 3,527.55
  4. Step 4: Simplify right side
    8,207.31x = 43,430,137.34
  5. Step 5: Solve for x
    x = 43,430,137.34/8,207.31
  6. Step 6: Final answer
    x = 5,291.64

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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.