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Finding the Fourth Proportional to 7,653.89, 11,467.23 and 3,201.74

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Solution

The fourth proportional to 7,653.89, 11,467.23 and 3,201.74 is: 4,796.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,653.89 : 11,467.23 = 3,201.74 : x
  2. Step 2: Convert to fraction form
    7,653.89/11,467.23 = 3,201.74/x
  3. Step 3: Cross multiply
    7,653.89x = 11,467.23 × 3,201.74
  4. Step 4: Simplify right side
    7,653.89x = 36,715,031.64
  5. Step 5: Solve for x
    x = 36,715,031.64/7,653.89
  6. Step 6: Final answer
    x = 4,796.91

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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.