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Finding the Fourth Proportional to 10,446.96, 15,667.32 and 5,513.96

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Solution

The fourth proportional to 10,446.96, 15,667.32 and 5,513.96 is: 8,269.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,446.96 : 15,667.32 = 5,513.96 : x
  2. Step 2: Convert to fraction form
    10,446.96/15,667.32 = 5,513.96/x
  3. Step 3: Cross multiply
    10,446.96x = 15,667.32 × 5,513.96
  4. Step 4: Simplify right side
    10,446.96x = 86,388,975.79
  5. Step 5: Solve for x
    x = 86,388,975.79/10,446.96
  6. Step 6: Final answer
    x = 8,269.29

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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.