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Finding the Fourth Proportional to 7,843.11, 11,768.10 and 2,911.68

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Solution

The fourth proportional to 7,843.11, 11,768.10 and 2,911.68 is: 4,368.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,843.11 : 11,768.10 = 2,911.68 : x
  2. Step 2: Convert to fraction form
    7,843.11/11,768.10 = 2,911.68/x
  3. Step 3: Cross multiply
    7,843.11x = 11,768.10 × 2,911.68
  4. Step 4: Simplify right side
    7,843.11x = 34,264,941.41
  5. Step 5: Solve for x
    x = 34,264,941.41/7,843.11
  6. Step 6: Final answer
    x = 4,368.80

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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.