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Finding the Fourth Proportional to 7,842.27, 10,822.21 and 4,305.49

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Solution

The fourth proportional to 7,842.27, 10,822.21 and 4,305.49 is: 5,941.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,842.27 : 10,822.21 = 4,305.49 : x
  2. Step 2: Convert to fraction form
    7,842.27/10,822.21 = 4,305.49/x
  3. Step 3: Cross multiply
    7,842.27x = 10,822.21 × 4,305.49
  4. Step 4: Simplify right side
    7,842.27x = 46,594,916.93
  5. Step 5: Solve for x
    x = 46,594,916.93/7,842.27
  6. Step 6: Final answer
    x = 5,941.51

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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.