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Finding the Fourth Proportional to 7,884.34, 11,824.08 and 2,689

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Solution

The fourth proportional to 7,884.34, 11,824.08 and 2,689 is: 4,032.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,884.34 : 11,824.08 = 2,689 : x
  2. Step 2: Convert to fraction form
    7,884.34/11,824.08 = 2,689/x
  3. Step 3: Cross multiply
    7,884.34x = 11,824.08 × 2,689
  4. Step 4: Simplify right side
    7,884.34x = 31,794,951.12
  5. Step 5: Solve for x
    x = 31,794,951.12/7,884.34
  6. Step 6: Final answer
    x = 4,032.67

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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.