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Finding the Fourth Proportional to 8,902.64, 13,353.83 and 2,662.51

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Solution

The fourth proportional to 8,902.64, 13,353.83 and 2,662.51 is: 3,993.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,902.64 : 13,353.83 = 2,662.51 : x
  2. Step 2: Convert to fraction form
    8,902.64/13,353.83 = 2,662.51/x
  3. Step 3: Cross multiply
    8,902.64x = 13,353.83 × 2,662.51
  4. Step 4: Simplify right side
    8,902.64x = 35,554,705.91
  5. Step 5: Solve for x
    x = 35,554,705.91/8,902.64
  6. Step 6: Final answer
    x = 3,993.73

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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.