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Finding the Fourth Proportional to 7,806.45, 11,695.49 and 4,512.58

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Solution

The fourth proportional to 7,806.45, 11,695.49 and 4,512.58 is: 6,760.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,806.45 : 11,695.49 = 4,512.58 : x
  2. Step 2: Convert to fraction form
    7,806.45/11,695.49 = 4,512.58/x
  3. Step 3: Cross multiply
    7,806.45x = 11,695.49 × 4,512.58
  4. Step 4: Simplify right side
    7,806.45x = 52,776,834.26
  5. Step 5: Solve for x
    x = 52,776,834.26/7,806.45
  6. Step 6: Final answer
    x = 6,760.67

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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.