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Finding the Fourth Proportional to 10,576.94, 14,597.21 and 5,861.23

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Solution

The fourth proportional to 10,576.94, 14,597.21 and 5,861.23 is: 8,089.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,576.94 : 14,597.21 = 5,861.23 : x
  2. Step 2: Convert to fraction form
    10,576.94/14,597.21 = 5,861.23/x
  3. Step 3: Cross multiply
    10,576.94x = 14,597.21 × 5,861.23
  4. Step 4: Simplify right side
    10,576.94x = 85,557,583.33
  5. Step 5: Solve for x
    x = 85,557,583.33/10,576.94
  6. Step 6: Final answer
    x = 8,089.07

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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.