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Finding the Fourth Proportional to 7,111.85, 10,668.42 and 1,846.85

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Solution

The fourth proportional to 7,111.85, 10,668.42 and 1,846.85 is: 2,770.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,111.85 : 10,668.42 = 1,846.85 : x
  2. Step 2: Convert to fraction form
    7,111.85/10,668.42 = 1,846.85/x
  3. Step 3: Cross multiply
    7,111.85x = 10,668.42 × 1,846.85
  4. Step 4: Simplify right side
    7,111.85x = 19,702,918.13
  5. Step 5: Solve for x
    x = 19,702,918.13/7,111.85
  6. Step 6: Final answer
    x = 2,770.44

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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.