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Finding the Fourth Proportional to 8,226.92, 11,353.29 and 4,690.19

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Solution

The fourth proportional to 8,226.92, 11,353.29 and 4,690.19 is: 6,472.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,226.92 : 11,353.29 = 4,690.19 : x
  2. Step 2: Convert to fraction form
    8,226.92/11,353.29 = 4,690.19/x
  3. Step 3: Cross multiply
    8,226.92x = 11,353.29 × 4,690.19
  4. Step 4: Simplify right side
    8,226.92x = 53,249,087.23
  5. Step 5: Solve for x
    x = 53,249,087.23/8,226.92
  6. Step 6: Final answer
    x = 6,472.54

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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.