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Finding the Fourth Proportional to 7,842.49, 10,822.86 and 4,305.85

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Solution

The fourth proportional to 7,842.49, 10,822.86 and 4,305.85 is: 5,942.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,842.49 : 10,822.86 = 4,305.85 : x
  2. Step 2: Convert to fraction form
    7,842.49/10,822.86 = 4,305.85/x
  3. Step 3: Cross multiply
    7,842.49x = 10,822.86 × 4,305.85
  4. Step 4: Simplify right side
    7,842.49x = 46,601,590.20
  5. Step 5: Solve for x
    x = 46,601,590.20/7,842.49
  6. Step 6: Final answer
    x = 5,942.19

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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.