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Finding the Fourth Proportional to 7,643.25, 11,449.23 and 4,513.81

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Solution

The fourth proportional to 7,643.25, 11,449.23 and 4,513.81 is: 6,761.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,643.25 : 11,449.23 = 4,513.81 : x
  2. Step 2: Convert to fraction form
    7,643.25/11,449.23 = 4,513.81/x
  3. Step 3: Cross multiply
    7,643.25x = 11,449.23 × 4,513.81
  4. Step 4: Simplify right side
    7,643.25x = 51,679,648.87
  5. Step 5: Solve for x
    x = 51,679,648.87/7,643.25
  6. Step 6: Final answer
    x = 6,761.48

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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.