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Finding the Fourth Proportional to 7,643.98, 11,467.11 and 2,713.21

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Solution

The fourth proportional to 7,643.98, 11,467.11 and 2,713.21 is: 4,070.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,643.98 : 11,467.11 = 2,713.21 : x
  2. Step 2: Convert to fraction form
    7,643.98/11,467.11 = 2,713.21/x
  3. Step 3: Cross multiply
    7,643.98x = 11,467.11 × 2,713.21
  4. Step 4: Simplify right side
    7,643.98x = 31,112,659.03
  5. Step 5: Solve for x
    x = 31,112,659.03/7,643.98
  6. Step 6: Final answer
    x = 4,070.22

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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.