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Finding the Fourth Proportional to 8,113.66, 12,169.41 and 5,161.21

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Solution

The fourth proportional to 8,113.66, 12,169.41 and 5,161.21 is: 7,741.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,113.66 : 12,169.41 = 5,161.21 : x
  2. Step 2: Convert to fraction form
    8,113.66/12,169.41 = 5,161.21/x
  3. Step 3: Cross multiply
    8,113.66x = 12,169.41 × 5,161.21
  4. Step 4: Simplify right side
    8,113.66x = 62,808,880.59
  5. Step 5: Solve for x
    x = 62,808,880.59/8,113.66
  6. Step 6: Final answer
    x = 7,741.13

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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.