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Finding the Fourth Proportional to 7,589.78, 11,384.68 and 3,431.76

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Solution

The fourth proportional to 7,589.78, 11,384.68 and 3,431.76 is: 5,147.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,589.78 : 11,384.68 = 3,431.76 : x
  2. Step 2: Convert to fraction form
    7,589.78/11,384.68 = 3,431.76/x
  3. Step 3: Cross multiply
    7,589.78x = 11,384.68 × 3,431.76
  4. Step 4: Simplify right side
    7,589.78x = 39,069,489.44
  5. Step 5: Solve for x
    x = 39,069,489.44/7,589.78
  6. Step 6: Final answer
    x = 5,147.64

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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.