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Finding the Fourth Proportional to 8,714.14, 13,069.44 and 3,715.56

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Solution

The fourth proportional to 8,714.14, 13,069.44 and 3,715.56 is: 5,572.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,714.14 : 13,069.44 = 3,715.56 : x
  2. Step 2: Convert to fraction form
    8,714.14/13,069.44 = 3,715.56/x
  3. Step 3: Cross multiply
    8,714.14x = 13,069.44 × 3,715.56
  4. Step 4: Simplify right side
    8,714.14x = 48,560,288.49
  5. Step 5: Solve for x
    x = 48,560,288.49/8,714.14
  6. Step 6: Final answer
    x = 5,572.59

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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.