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Finding the Fourth Proportional to 7,072.96, 10,609.92 and 2,456.32

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Solution

The fourth proportional to 7,072.96, 10,609.92 and 2,456.32 is: 3,684.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,072.96 : 10,609.92 = 2,456.32 : x
  2. Step 2: Convert to fraction form
    7,072.96/10,609.92 = 2,456.32/x
  3. Step 3: Cross multiply
    7,072.96x = 10,609.92 × 2,456.32
  4. Step 4: Simplify right side
    7,072.96x = 26,061,358.69
  5. Step 5: Solve for x
    x = 26,061,358.69/7,072.96
  6. Step 6: Final answer
    x = 3,684.65

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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.