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Finding the Fourth Proportional to 8,576.93, 11,834.11 and 5,219.69

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Solution

The fourth proportional to 8,576.93, 11,834.11 and 5,219.69 is: 7,201.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,576.93 : 11,834.11 = 5,219.69 : x
  2. Step 2: Convert to fraction form
    8,576.93/11,834.11 = 5,219.69/x
  3. Step 3: Cross multiply
    8,576.93x = 11,834.11 × 5,219.69
  4. Step 4: Simplify right side
    8,576.93x = 61,770,385.63
  5. Step 5: Solve for x
    x = 61,770,385.63/8,576.93
  6. Step 6: Final answer
    x = 7,201.92

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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.