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Finding the Fourth Proportional to 6,994.80, 10,478.34 and 4,213.26

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Solution

The fourth proportional to 6,994.80, 10,478.34 and 4,213.26 is: 6,311.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,994.80 : 10,478.34 = 4,213.26 : x
  2. Step 2: Convert to fraction form
    6,994.80/10,478.34 = 4,213.26/x
  3. Step 3: Cross multiply
    6,994.80x = 10,478.34 × 4,213.26
  4. Step 4: Simplify right side
    6,994.80x = 44,147,970.79
  5. Step 5: Solve for x
    x = 44,147,970.79/6,994.80
  6. Step 6: Final answer
    x = 6,311.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.