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Finding the Fourth Proportional to 7,861.82, 10,849.59 and 4,324.94

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Solution

The fourth proportional to 7,861.82, 10,849.59 and 4,324.94 is: 5,968.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,861.82 : 10,849.59 = 4,324.94 : x
  2. Step 2: Convert to fraction form
    7,861.82/10,849.59 = 4,324.94/x
  3. Step 3: Cross multiply
    7,861.82x = 10,849.59 × 4,324.94
  4. Step 4: Simplify right side
    7,861.82x = 46,923,825.77
  5. Step 5: Solve for x
    x = 46,923,825.77/7,861.82
  6. Step 6: Final answer
    x = 5,968.57

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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.