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Finding the Fourth Proportional to 8,441.20, 11,652.06 and 6,351.40

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Solution

The fourth proportional to 8,441.20, 11,652.06 and 6,351.40 is: 8,767.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,441.20 : 11,652.06 = 6,351.40 : x
  2. Step 2: Convert to fraction form
    8,441.20/11,652.06 = 6,351.40/x
  3. Step 3: Cross multiply
    8,441.20x = 11,652.06 × 6,351.40
  4. Step 4: Simplify right side
    8,441.20x = 74,006,893.88
  5. Step 5: Solve for x
    x = 74,006,893.88/8,441.20
  6. Step 6: Final answer
    x = 8,767.34

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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.