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Finding the Fourth Proportional to 7,480.26, 11,216.43 and 2,284.74

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Solution

The fourth proportional to 7,480.26, 11,216.43 and 2,284.74 is: 3,425.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,480.26 : 11,216.43 = 2,284.74 : x
  2. Step 2: Convert to fraction form
    7,480.26/11,216.43 = 2,284.74/x
  3. Step 3: Cross multiply
    7,480.26x = 11,216.43 × 2,284.74
  4. Step 4: Simplify right side
    7,480.26x = 25,626,626.28
  5. Step 5: Solve for x
    x = 25,626,626.28/7,480.26
  6. Step 6: Final answer
    x = 3,425.90

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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.