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Finding the Fourth Proportional to 6,811.98, 10,213.50 and 3,301.02

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Solution

The fourth proportional to 6,811.98, 10,213.50 and 3,301.02 is: 4,949.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,811.98 : 10,213.50 = 3,301.02 : x
  2. Step 2: Convert to fraction form
    6,811.98/10,213.50 = 3,301.02/x
  3. Step 3: Cross multiply
    6,811.98x = 10,213.50 × 3,301.02
  4. Step 4: Simplify right side
    6,811.98x = 33,714,967.77
  5. Step 5: Solve for x
    x = 33,714,967.77/6,811.98
  6. Step 6: Final answer
    x = 4,949.36

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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.