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Finding the Fourth Proportional to 7,262.78, 10,894.81 and 2,820.34

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Solution

The fourth proportional to 7,262.78, 10,894.81 and 2,820.34 is: 4,230.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,262.78 : 10,894.81 = 2,820.34 : x
  2. Step 2: Convert to fraction form
    7,262.78/10,894.81 = 2,820.34/x
  3. Step 3: Cross multiply
    7,262.78x = 10,894.81 × 2,820.34
  4. Step 4: Simplify right side
    7,262.78x = 30,727,013.96
  5. Step 5: Solve for x
    x = 30,727,013.96/7,262.78
  6. Step 6: Final answer
    x = 4,230.75

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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.