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Finding the Fourth Proportional to 8,562.46, 12,844.71 and 3,631.46

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Solution

The fourth proportional to 8,562.46, 12,844.71 and 3,631.46 is: 5,447.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,562.46 : 12,844.71 = 3,631.46 : x
  2. Step 2: Convert to fraction form
    8,562.46/12,844.71 = 3,631.46/x
  3. Step 3: Cross multiply
    8,562.46x = 12,844.71 × 3,631.46
  4. Step 4: Simplify right side
    8,562.46x = 46,644,986.35
  5. Step 5: Solve for x
    x = 46,644,986.35/8,562.46
  6. Step 6: Final answer
    x = 5,447.62

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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.