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Finding the Fourth Proportional to 11,846.23, 16,348.75 and 6,812.08

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Solution

The fourth proportional to 11,846.23, 16,348.75 and 6,812.08 is: 9,401.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,846.23 : 16,348.75 = 6,812.08 : x
  2. Step 2: Convert to fraction form
    11,846.23/16,348.75 = 6,812.08/x
  3. Step 3: Cross multiply
    11,846.23x = 16,348.75 × 6,812.08
  4. Step 4: Simplify right side
    11,846.23x = 111,368,992.90
  5. Step 5: Solve for x
    x = 111,368,992.90/11,846.23
  6. Step 6: Final answer
    x = 9,401.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.