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Finding the Fourth Proportional to 7,766.01, 11,650.23 and 2,570.67

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Solution

The fourth proportional to 7,766.01, 11,650.23 and 2,570.67 is: 3,856.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,766.01 : 11,650.23 = 2,570.67 : x
  2. Step 2: Convert to fraction form
    7,766.01/11,650.23 = 2,570.67/x
  3. Step 3: Cross multiply
    7,766.01x = 11,650.23 × 2,570.67
  4. Step 4: Simplify right side
    7,766.01x = 29,948,896.75
  5. Step 5: Solve for x
    x = 29,948,896.75/7,766.01
  6. Step 6: Final answer
    x = 3,856.41

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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.