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Finding the Fourth Proportional to 7,826.81, 10,800.41 and 4,469.17

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Solution

The fourth proportional to 7,826.81, 10,800.41 and 4,469.17 is: 6,167.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,826.81 : 10,800.41 = 4,469.17 : x
  2. Step 2: Convert to fraction form
    7,826.81/10,800.41 = 4,469.17/x
  3. Step 3: Cross multiply
    7,826.81x = 10,800.41 × 4,469.17
  4. Step 4: Simplify right side
    7,826.81x = 48,268,834.03
  5. Step 5: Solve for x
    x = 48,268,834.03/7,826.81
  6. Step 6: Final answer
    x = 6,167.11

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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.