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Finding the Fourth Proportional to 7,162.35, 10,737.94 and 3,412.18

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Solution

The fourth proportional to 7,162.35, 10,737.94 and 3,412.18 is: 5,115.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,162.35 : 10,737.94 = 3,412.18 : x
  2. Step 2: Convert to fraction form
    7,162.35/10,737.94 = 3,412.18/x
  3. Step 3: Cross multiply
    7,162.35x = 10,737.94 × 3,412.18
  4. Step 4: Simplify right side
    7,162.35x = 36,639,744.59
  5. Step 5: Solve for x
    x = 36,639,744.59/7,162.35
  6. Step 6: Final answer
    x = 5,115.60

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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.