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Finding the Fourth Proportional to 8,195.81, 11,290.46 and 6,516.68

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Solution

The fourth proportional to 8,195.81, 11,290.46 and 6,516.68 is: 8,977.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,195.81 : 11,290.46 = 6,516.68 : x
  2. Step 2: Convert to fraction form
    8,195.81/11,290.46 = 6,516.68/x
  3. Step 3: Cross multiply
    8,195.81x = 11,290.46 × 6,516.68
  4. Step 4: Simplify right side
    8,195.81x = 73,576,225.84
  5. Step 5: Solve for x
    x = 73,576,225.84/8,195.81
  6. Step 6: Final answer
    x = 8,977.30

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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.