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Finding the Fourth Proportional to 7,523.80, 11,287.86 and 2,258.96

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Solution

The fourth proportional to 7,523.80, 11,287.86 and 2,258.96 is: 3,389.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,523.80 : 11,287.86 = 2,258.96 : x
  2. Step 2: Convert to fraction form
    7,523.80/11,287.86 = 2,258.96/x
  3. Step 3: Cross multiply
    7,523.80x = 11,287.86 × 2,258.96
  4. Step 4: Simplify right side
    7,523.80x = 25,498,824.23
  5. Step 5: Solve for x
    x = 25,498,824.23/7,523.80
  6. Step 6: Final answer
    x = 3,389.09

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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.