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Finding the Fourth Proportional to 7,820.82, 10,792.67 and 4,235.78

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Solution

The fourth proportional to 7,820.82, 10,792.67 and 4,235.78 is: 5,845.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,820.82 : 10,792.67 = 4,235.78 : x
  2. Step 2: Convert to fraction form
    7,820.82/10,792.67 = 4,235.78/x
  3. Step 3: Cross multiply
    7,820.82x = 10,792.67 × 4,235.78
  4. Step 4: Simplify right side
    7,820.82x = 45,715,381.54
  5. Step 5: Solve for x
    x = 45,715,381.54/7,820.82
  6. Step 6: Final answer
    x = 5,845.34

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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.