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Finding the Fourth Proportional to 6,211.48, 9,318.53 and 1,828.57

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Solution

The fourth proportional to 6,211.48, 9,318.53 and 1,828.57 is: 2,743.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,211.48 : 9,318.53 = 1,828.57 : x
  2. Step 2: Convert to fraction form
    6,211.48/9,318.53 = 1,828.57/x
  3. Step 3: Cross multiply
    6,211.48x = 9,318.53 × 1,828.57
  4. Step 4: Simplify right side
    6,211.48x = 17,039,584.40
  5. Step 5: Solve for x
    x = 17,039,584.40/6,211.48
  6. Step 6: Final answer
    x = 2,743.24

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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.