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Finding the Fourth Proportional to 7,442.84, 11,161.41 and 2,444.02

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Solution

The fourth proportional to 7,442.84, 11,161.41 and 2,444.02 is: 3,665.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,442.84 : 11,161.41 = 2,444.02 : x
  2. Step 2: Convert to fraction form
    7,442.84/11,161.41 = 2,444.02/x
  3. Step 3: Cross multiply
    7,442.84x = 11,161.41 × 2,444.02
  4. Step 4: Simplify right side
    7,442.84x = 27,278,738.42
  5. Step 5: Solve for x
    x = 27,278,738.42/7,442.84
  6. Step 6: Final answer
    x = 3,665.10

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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.