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Finding the Fourth Proportional to 7,912.89, 11,851.92 and 6,846.12

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Solution

The fourth proportional to 7,912.89, 11,851.92 and 6,846.12 is: 10,254.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,912.89 : 11,851.92 = 6,846.12 : x
  2. Step 2: Convert to fraction form
    7,912.89/11,851.92 = 6,846.12/x
  3. Step 3: Cross multiply
    7,912.89x = 11,851.92 × 6,846.12
  4. Step 4: Simplify right side
    7,912.89x = 81,139,666.55
  5. Step 5: Solve for x
    x = 81,139,666.55/7,912.89
  6. Step 6: Final answer
    x = 10,254.11

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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.