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Finding the Fourth Proportional to 8,576.69, 11,827.11 and 5,743.61

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Solution

The fourth proportional to 8,576.69, 11,827.11 and 5,743.61 is: 7,920.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,576.69 : 11,827.11 = 5,743.61 : x
  2. Step 2: Convert to fraction form
    8,576.69/11,827.11 = 5,743.61/x
  3. Step 3: Cross multiply
    8,576.69x = 11,827.11 × 5,743.61
  4. Step 4: Simplify right side
    8,576.69x = 67,930,314.02
  5. Step 5: Solve for x
    x = 67,930,314.02/8,576.69
  6. Step 6: Final answer
    x = 7,920.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.