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Finding the Fourth Proportional to 7,782.50, 11,680.00 and 4,086.92

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Solution

The fourth proportional to 7,782.50, 11,680.00 and 4,086.92 is: 6,133.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,782.50 : 11,680.00 = 4,086.92 : x
  2. Step 2: Convert to fraction form
    7,782.50/11,680.00 = 4,086.92/x
  3. Step 3: Cross multiply
    7,782.50x = 11,680.00 × 4,086.92
  4. Step 4: Simplify right side
    7,782.50x = 47,735,244.58
  5. Step 5: Solve for x
    x = 47,735,244.58/7,782.50
  6. Step 6: Final answer
    x = 6,133.67

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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.