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Finding the Fourth Proportional to 8,310.81, 12,466.23 and 8,101.68

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Solution

The fourth proportional to 8,310.81, 12,466.23 and 8,101.68 is: 12,152.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,310.81 : 12,466.23 = 8,101.68 : x
  2. Step 2: Convert to fraction form
    8,310.81/12,466.23 = 8,101.68/x
  3. Step 3: Cross multiply
    8,310.81x = 12,466.23 × 8,101.68
  4. Step 4: Simplify right side
    8,310.81x = 100,997,406.27
  5. Step 5: Solve for x
    x = 100,997,406.27/8,310.81
  6. Step 6: Final answer
    x = 12,152.53

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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.