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Finding the Fourth Proportional to 7,851.93, 11,779.63 and 2,586.73

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Solution

The fourth proportional to 7,851.93, 11,779.63 and 2,586.73 is: 3,880.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,851.93 : 11,779.63 = 2,586.73 : x
  2. Step 2: Convert to fraction form
    7,851.93/11,779.63 = 2,586.73/x
  3. Step 3: Cross multiply
    7,851.93x = 11,779.63 × 2,586.73
  4. Step 4: Simplify right side
    7,851.93x = 30,470,722.31
  5. Step 5: Solve for x
    x = 30,470,722.31/7,851.93
  6. Step 6: Final answer
    x = 3,880.67

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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.