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Finding the Fourth Proportional to 7,821.23, 10,791.92 and 4,463.51

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Solution

The fourth proportional to 7,821.23, 10,791.92 and 4,463.51 is: 6,158.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,821.23 : 10,791.92 = 4,463.51 : x
  2. Step 2: Convert to fraction form
    7,821.23/10,791.92 = 4,463.51/x
  3. Step 3: Cross multiply
    7,821.23x = 10,791.92 × 4,463.51
  4. Step 4: Simplify right side
    7,821.23x = 48,169,820.52
  5. Step 5: Solve for x
    x = 48,169,820.52/7,821.23
  6. Step 6: Final answer
    x = 6,158.85

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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.