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Finding the Fourth Proportional to 7,666.85, 11,503.53 and 3,286.37

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Solution

The fourth proportional to 7,666.85, 11,503.53 and 3,286.37 is: 4,930.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,666.85 : 11,503.53 = 3,286.37 : x
  2. Step 2: Convert to fraction form
    7,666.85/11,503.53 = 3,286.37/x
  3. Step 3: Cross multiply
    7,666.85x = 11,503.53 × 3,286.37
  4. Step 4: Simplify right side
    7,666.85x = 37,804,884.64
  5. Step 5: Solve for x
    x = 37,804,884.64/7,666.85
  6. Step 6: Final answer
    x = 4,930.95

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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.