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Finding the Fourth Proportional to 7,583.42, 11,381.51 and 3,889.22

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Solution

The fourth proportional to 7,583.42, 11,381.51 and 3,889.22 is: 5,837.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,583.42 : 11,381.51 = 3,889.22 : x
  2. Step 2: Convert to fraction form
    7,583.42/11,381.51 = 3,889.22/x
  3. Step 3: Cross multiply
    7,583.42x = 11,381.51 × 3,889.22
  4. Step 4: Simplify right side
    7,583.42x = 44,265,149.14
  5. Step 5: Solve for x
    x = 44,265,149.14/7,583.42
  6. Step 6: Final answer
    x = 5,837.09

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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.