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Finding the Fourth Proportional to 8,305.64, 12,463.44 and 3,374.90

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Solution

The fourth proportional to 8,305.64, 12,463.44 and 3,374.90 is: 5,064.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,305.64 : 12,463.44 = 3,374.90 : x
  2. Step 2: Convert to fraction form
    8,305.64/12,463.44 = 3,374.90/x
  3. Step 3: Cross multiply
    8,305.64x = 12,463.44 × 3,374.90
  4. Step 4: Simplify right side
    8,305.64x = 42,062,863.66
  5. Step 5: Solve for x
    x = 42,062,863.66/8,305.64
  6. Step 6: Final answer
    x = 5,064.37

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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.