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Finding the Fourth Proportional to 7,307.31, 10,084.19 and 4,163.43

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Solution

The fourth proportional to 7,307.31, 10,084.19 and 4,163.43 is: 5,745.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,307.31 : 10,084.19 = 4,163.43 : x
  2. Step 2: Convert to fraction form
    7,307.31/10,084.19 = 4,163.43/x
  3. Step 3: Cross multiply
    7,307.31x = 10,084.19 × 4,163.43
  4. Step 4: Simplify right side
    7,307.31x = 41,984,798.35
  5. Step 5: Solve for x
    x = 41,984,798.35/7,307.31
  6. Step 6: Final answer
    x = 5,745.59

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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.