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Finding the Fourth Proportional to 7,524.64, 11,284.26 and 2,593

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Solution

The fourth proportional to 7,524.64, 11,284.26 and 2,593 is: 3,888.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,524.64 : 11,284.26 = 2,593 : x
  2. Step 2: Convert to fraction form
    7,524.64/11,284.26 = 2,593/x
  3. Step 3: Cross multiply
    7,524.64x = 11,284.26 × 2,593
  4. Step 4: Simplify right side
    7,524.64x = 29,260,086.18
  5. Step 5: Solve for x
    x = 29,260,086.18/7,524.64
  6. Step 6: Final answer
    x = 3,888.57

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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.