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Finding the Fourth Proportional to 8,111.67, 12,167.51 and 3,494.67

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Solution

The fourth proportional to 8,111.67, 12,167.51 and 3,494.67 is: 5,242.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,111.67 : 12,167.51 = 3,494.67 : x
  2. Step 2: Convert to fraction form
    8,111.67/12,167.51 = 3,494.67/x
  3. Step 3: Cross multiply
    8,111.67x = 12,167.51 × 3,494.67
  4. Step 4: Simplify right side
    8,111.67x = 42,521,414.70
  5. Step 5: Solve for x
    x = 42,521,414.70/8,111.67
  6. Step 6: Final answer
    x = 5,242.01

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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.