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Finding the Fourth Proportional to 8,351.42, 12,530.37 and 3,157.70

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Solution

The fourth proportional to 8,351.42, 12,530.37 and 3,157.70 is: 4,737.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,351.42 : 12,530.37 = 3,157.70 : x
  2. Step 2: Convert to fraction form
    8,351.42/12,530.37 = 3,157.70/x
  3. Step 3: Cross multiply
    8,351.42x = 12,530.37 × 3,157.70
  4. Step 4: Simplify right side
    8,351.42x = 39,567,086.70
  5. Step 5: Solve for x
    x = 39,567,086.70/8,351.42
  6. Step 6: Final answer
    x = 4,737.77

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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.