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Finding the Fourth Proportional to 7,821, 10,791.30 and 4,635.29

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Solution

The fourth proportional to 7,821, 10,791.30 and 4,635.29 is: 6,395.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,821 : 10,791.30 = 4,635.29 : x
  2. Step 2: Convert to fraction form
    7,821/10,791.30 = 4,635.29/x
  3. Step 3: Cross multiply
    7,821x = 10,791.30 × 4,635.29
  4. Step 4: Simplify right side
    7,821x = 50,020,831.96
  5. Step 5: Solve for x
    x = 50,020,831.96/7,821
  6. Step 6: Final answer
    x = 6,395.71

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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.