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Finding the Fourth Proportional to 7,841.85, 11,762.97 and 2,294.61

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Solution

The fourth proportional to 7,841.85, 11,762.97 and 2,294.61 is: 3,441.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,841.85 : 11,762.97 = 2,294.61 : x
  2. Step 2: Convert to fraction form
    7,841.85/11,762.97 = 2,294.61/x
  3. Step 3: Cross multiply
    7,841.85x = 11,762.97 × 2,294.61
  4. Step 4: Simplify right side
    7,841.85x = 26,991,428.59
  5. Step 5: Solve for x
    x = 26,991,428.59/7,841.85
  6. Step 6: Final answer
    x = 3,441.97

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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.