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Finding the Fourth Proportional to 8,198.81, 11,314.47 and 4,662.01

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Solution

The fourth proportional to 8,198.81, 11,314.47 and 4,662.01 is: 6,433.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,198.81 : 11,314.47 = 4,662.01 : x
  2. Step 2: Convert to fraction form
    8,198.81/11,314.47 = 4,662.01/x
  3. Step 3: Cross multiply
    8,198.81x = 11,314.47 × 4,662.01
  4. Step 4: Simplify right side
    8,198.81x = 52,748,172.28
  5. Step 5: Solve for x
    x = 52,748,172.28/8,198.81
  6. Step 6: Final answer
    x = 6,433.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.