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Finding the Fourth Proportional to 7,851.75, 11,779.65 and 2,586.75

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Solution

The fourth proportional to 7,851.75, 11,779.65 and 2,586.75 is: 3,880.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,851.75 : 11,779.65 = 2,586.75 : x
  2. Step 2: Convert to fraction form
    7,851.75/11,779.65 = 2,586.75/x
  3. Step 3: Cross multiply
    7,851.75x = 11,779.65 × 2,586.75
  4. Step 4: Simplify right side
    7,851.75x = 30,471,009.64
  5. Step 5: Solve for x
    x = 30,471,009.64/7,851.75
  6. Step 6: Final answer
    x = 3,880.79

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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.