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Finding the Fourth Proportional to 8,433.81, 11,639.45 and 6,305.65

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Solution

The fourth proportional to 8,433.81, 11,639.45 and 6,305.65 is: 8,702.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,433.81 : 11,639.45 = 6,305.65 : x
  2. Step 2: Convert to fraction form
    8,433.81/11,639.45 = 6,305.65/x
  3. Step 3: Cross multiply
    8,433.81x = 11,639.45 × 6,305.65
  4. Step 4: Simplify right side
    8,433.81x = 73,394,297.89
  5. Step 5: Solve for x
    x = 73,394,297.89/8,433.81
  6. Step 6: Final answer
    x = 8,702.39

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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.