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Finding the Fourth Proportional to 7,828.41, 10,806.89 and 4,846.19

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Solution

The fourth proportional to 7,828.41, 10,806.89 and 4,846.19 is: 6,690.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,828.41 : 10,806.89 = 4,846.19 : x
  2. Step 2: Convert to fraction form
    7,828.41/10,806.89 = 4,846.19/x
  3. Step 3: Cross multiply
    7,828.41x = 10,806.89 × 4,846.19
  4. Step 4: Simplify right side
    7,828.41x = 52,372,227.35
  5. Step 5: Solve for x
    x = 52,372,227.35/7,828.41
  6. Step 6: Final answer
    x = 6,690.03

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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.