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Finding the Fourth Proportional to 7,134.42, 10,705.68 and 3,847.44

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Solution

The fourth proportional to 7,134.42, 10,705.68 and 3,847.44 is: 5,773.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,134.42 : 10,705.68 = 3,847.44 : x
  2. Step 2: Convert to fraction form
    7,134.42/10,705.68 = 3,847.44/x
  3. Step 3: Cross multiply
    7,134.42x = 10,705.68 × 3,847.44
  4. Step 4: Simplify right side
    7,134.42x = 41,189,461.46
  5. Step 5: Solve for x
    x = 41,189,461.46/7,134.42
  6. Step 6: Final answer
    x = 5,773.34

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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.