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Finding the Fourth Proportional to 8,463.40, 12,697.69 and 3,787.34

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Solution

The fourth proportional to 8,463.40, 12,697.69 and 3,787.34 is: 5,682.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,463.40 : 12,697.69 = 3,787.34 : x
  2. Step 2: Convert to fraction form
    8,463.40/12,697.69 = 3,787.34/x
  3. Step 3: Cross multiply
    8,463.40x = 12,697.69 × 3,787.34
  4. Step 4: Simplify right side
    8,463.40x = 48,090,469.24
  5. Step 5: Solve for x
    x = 48,090,469.24/8,463.40
  6. Step 6: Final answer
    x = 5,682.17

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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.