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Finding the Fourth Proportional to 8,536.14, 12,811.37 and 4,380.14

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Solution

The fourth proportional to 8,536.14, 12,811.37 and 4,380.14 is: 6,573.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,536.14 : 12,811.37 = 4,380.14 : x
  2. Step 2: Convert to fraction form
    8,536.14/12,811.37 = 4,380.14/x
  3. Step 3: Cross multiply
    8,536.14x = 12,811.37 × 4,380.14
  4. Step 4: Simplify right side
    8,536.14x = 56,115,604.32
  5. Step 5: Solve for x
    x = 56,115,604.32/8,536.14
  6. Step 6: Final answer
    x = 6,573.89

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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.