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Finding the Fourth Proportional to 8,304.46, 12,458.81 and 6,826.11

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Solution

The fourth proportional to 8,304.46, 12,458.81 and 6,826.11 is: 10,240.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,304.46 : 12,458.81 = 6,826.11 : x
  2. Step 2: Convert to fraction form
    8,304.46/12,458.81 = 6,826.11/x
  3. Step 3: Cross multiply
    8,304.46x = 12,458.81 × 6,826.11
  4. Step 4: Simplify right side
    8,304.46x = 85,045,177.87
  5. Step 5: Solve for x
    x = 85,045,177.87/8,304.46
  6. Step 6: Final answer
    x = 10,240.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.