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Finding the Fourth Proportional to 10,576.35, 14,596.08 and 6,100.40

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Solution

The fourth proportional to 10,576.35, 14,596.08 and 6,100.40 is: 8,418.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,576.35 : 14,596.08 = 6,100.40 : x
  2. Step 2: Convert to fraction form
    10,576.35/14,596.08 = 6,100.40/x
  3. Step 3: Cross multiply
    10,576.35x = 14,596.08 × 6,100.40
  4. Step 4: Simplify right side
    10,576.35x = 89,041,940.05
  5. Step 5: Solve for x
    x = 89,041,940.05/10,576.35
  6. Step 6: Final answer
    x = 8,418.97

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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.