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Finding the Fourth Proportional to 8,310.85, 11,445.64 and 8,129.41

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Solution

The fourth proportional to 8,310.85, 11,445.64 and 8,129.41 is: 11,195.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,310.85 : 11,445.64 = 8,129.41 : x
  2. Step 2: Convert to fraction form
    8,310.85/11,445.64 = 8,129.41/x
  3. Step 3: Cross multiply
    8,310.85x = 11,445.64 × 8,129.41
  4. Step 4: Simplify right side
    8,310.85x = 93,046,300.27
  5. Step 5: Solve for x
    x = 93,046,300.27/8,310.85
  6. Step 6: Final answer
    x = 11,195.76

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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.