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Finding the Fourth Proportional to 8,290.89, 12,433.33 and 3,610.65

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Solution

The fourth proportional to 8,290.89, 12,433.33 and 3,610.65 is: 5,414.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,290.89 : 12,433.33 = 3,610.65 : x
  2. Step 2: Convert to fraction form
    8,290.89/12,433.33 = 3,610.65/x
  3. Step 3: Cross multiply
    8,290.89x = 12,433.33 × 3,610.65
  4. Step 4: Simplify right side
    8,290.89x = 44,892,402.96
  5. Step 5: Solve for x
    x = 44,892,402.96/8,290.89
  6. Step 6: Final answer
    x = 5,414.67

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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.