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Finding the Fourth Proportional to 10,576.33, 14,596.80 and 6,099.99

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Solution

The fourth proportional to 10,576.33, 14,596.80 and 6,099.99 is: 8,418.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,576.33 : 14,596.80 = 6,099.99 : x
  2. Step 2: Convert to fraction form
    10,576.33/14,596.80 = 6,099.99/x
  3. Step 3: Cross multiply
    10,576.33x = 14,596.80 × 6,099.99
  4. Step 4: Simplify right side
    10,576.33x = 89,040,294.10
  5. Step 5: Solve for x
    x = 89,040,294.10/10,576.33
  6. Step 6: Final answer
    x = 8,418.82

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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.