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Finding the Fourth Proportional to 6,758.26, 10,136.61 and 1,828.40

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Solution

The fourth proportional to 6,758.26, 10,136.61 and 1,828.40 is: 2,742.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,758.26 : 10,136.61 = 1,828.40 : x
  2. Step 2: Convert to fraction form
    6,758.26/10,136.61 = 1,828.40/x
  3. Step 3: Cross multiply
    6,758.26x = 10,136.61 × 1,828.40
  4. Step 4: Simplify right side
    6,758.26x = 18,533,727.04
  5. Step 5: Solve for x
    x = 18,533,727.04/6,758.26
  6. Step 6: Final answer
    x = 2,742.38

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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.