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Finding the Fourth Proportional to 7,134.70, 10,705.13 and 3,847.03

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Solution

The fourth proportional to 7,134.70, 10,705.13 and 3,847.03 is: 5,772.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,134.70 : 10,705.13 = 3,847.03 : x
  2. Step 2: Convert to fraction form
    7,134.70/10,705.13 = 3,847.03/x
  3. Step 3: Cross multiply
    7,134.70x = 10,705.13 × 3,847.03
  4. Step 4: Simplify right side
    7,134.70x = 41,182,956.26
  5. Step 5: Solve for x
    x = 41,182,956.26/7,134.70
  6. Step 6: Final answer
    x = 5,772.21

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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.