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Finding the Fourth Proportional to 7,806.89, 10,774.55 and 5,020.49

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Solution

The fourth proportional to 7,806.89, 10,774.55 and 5,020.49 is: 6,928.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,806.89 : 10,774.55 = 5,020.49 : x
  2. Step 2: Convert to fraction form
    7,806.89/10,774.55 = 5,020.49/x
  3. Step 3: Cross multiply
    7,806.89x = 10,774.55 × 5,020.49
  4. Step 4: Simplify right side
    7,806.89x = 54,093,520.53
  5. Step 5: Solve for x
    x = 54,093,520.53/7,806.89
  6. Step 6: Final answer
    x = 6,928.95

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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.