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Finding the Fourth Proportional to 7,164.90, 10,751.27 and 2,782.53

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Solution

The fourth proportional to 7,164.90, 10,751.27 and 2,782.53 is: 4,175.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,164.90 : 10,751.27 = 2,782.53 : x
  2. Step 2: Convert to fraction form
    7,164.90/10,751.27 = 2,782.53/x
  3. Step 3: Cross multiply
    7,164.90x = 10,751.27 × 2,782.53
  4. Step 4: Simplify right side
    7,164.90x = 29,915,738.27
  5. Step 5: Solve for x
    x = 29,915,738.27/7,164.90
  6. Step 6: Final answer
    x = 4,175.32

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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.