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Finding the Fourth Proportional to 7,645.92, 11,467.65 and 2,097.98

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Solution

The fourth proportional to 7,645.92, 11,467.65 and 2,097.98 is: 3,146.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,645.92 : 11,467.65 = 2,097.98 : x
  2. Step 2: Convert to fraction form
    7,645.92/11,467.65 = 2,097.98/x
  3. Step 3: Cross multiply
    7,645.92x = 11,467.65 × 2,097.98
  4. Step 4: Simplify right side
    7,645.92x = 24,058,843.01
  5. Step 5: Solve for x
    x = 24,058,843.01/7,645.92
  6. Step 6: Final answer
    x = 3,146.62

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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.