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Finding the Fourth Proportional to 7,308.63, 10,083.29 and 4,163.00

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Solution

The fourth proportional to 7,308.63, 10,083.29 and 4,163.00 is: 5,743.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,308.63 : 10,083.29 = 4,163.00 : x
  2. Step 2: Convert to fraction form
    7,308.63/10,083.29 = 4,163.00/x
  3. Step 3: Cross multiply
    7,308.63x = 10,083.29 × 4,163.00
  4. Step 4: Simplify right side
    7,308.63x = 41,976,665.04
  5. Step 5: Solve for x
    x = 41,976,665.04/7,308.63
  6. Step 6: Final answer
    x = 5,743.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.