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Finding the Fourth Proportional to 7,467.84, 11,189.16 and 3,563.64

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Solution

The fourth proportional to 7,467.84, 11,189.16 and 3,563.64 is: 5,339.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,467.84 : 11,189.16 = 3,563.64 : x
  2. Step 2: Convert to fraction form
    7,467.84/11,189.16 = 3,563.64/x
  3. Step 3: Cross multiply
    7,467.84x = 11,189.16 × 3,563.64
  4. Step 4: Simplify right side
    7,467.84x = 39,874,138.14
  5. Step 5: Solve for x
    x = 39,874,138.14/7,467.84
  6. Step 6: Final answer
    x = 5,339.45

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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.