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Finding the Fourth Proportional to 7,851.53, 11,775.99 and 2,586.60

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Solution

The fourth proportional to 7,851.53, 11,775.99 and 2,586.60 is: 3,879.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,851.53 : 11,775.99 = 2,586.60 : x
  2. Step 2: Convert to fraction form
    7,851.53/11,775.99 = 2,586.60/x
  3. Step 3: Cross multiply
    7,851.53x = 11,775.99 × 2,586.60
  4. Step 4: Simplify right side
    7,851.53x = 30,459,775.73
  5. Step 5: Solve for x
    x = 30,459,775.73/7,851.53
  6. Step 6: Final answer
    x = 3,879.47

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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.