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Finding the Fourth Proportional to 7,941.40, 10,986.78 and 7,768.60

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Solution

The fourth proportional to 7,941.40, 10,986.78 and 7,768.60 is: 10,747.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,941.40 : 10,986.78 = 7,768.60 : x
  2. Step 2: Convert to fraction form
    7,941.40/10,986.78 = 7,768.60/x
  3. Step 3: Cross multiply
    7,941.40x = 10,986.78 × 7,768.60
  4. Step 4: Simplify right side
    7,941.40x = 85,351,899.11
  5. Step 5: Solve for x
    x = 85,351,899.11/7,941.40
  6. Step 6: Final answer
    x = 10,747.71

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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.