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Finding the Fourth Proportional to 7,234.84, 10,850.90 and 3,533.32

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Solution

The fourth proportional to 7,234.84, 10,850.90 and 3,533.32 is: 5,299.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,234.84 : 10,850.90 = 3,533.32 : x
  2. Step 2: Convert to fraction form
    7,234.84/10,850.90 = 3,533.32/x
  3. Step 3: Cross multiply
    7,234.84x = 10,850.90 × 3,533.32
  4. Step 4: Simplify right side
    7,234.84x = 38,339,701.99
  5. Step 5: Solve for x
    x = 38,339,701.99/7,234.84
  6. Step 6: Final answer
    x = 5,299.32

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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.