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Finding the Fourth Proportional to 8,664.84, 12,997.80 and 3,470.04

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Solution

The fourth proportional to 8,664.84, 12,997.80 and 3,470.04 is: 5,205.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,664.84 : 12,997.80 = 3,470.04 : x
  2. Step 2: Convert to fraction form
    8,664.84/12,997.80 = 3,470.04/x
  3. Step 3: Cross multiply
    8,664.84x = 12,997.80 × 3,470.04
  4. Step 4: Simplify right side
    8,664.84x = 45,102,885.91
  5. Step 5: Solve for x
    x = 45,102,885.91/8,664.84
  6. Step 6: Final answer
    x = 5,205.28

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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.