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Finding the Fourth Proportional to 7,842.33, 10,822.43 and 4,305.77

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Solution

The fourth proportional to 7,842.33, 10,822.43 and 4,305.77 is: 5,941.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,842.33 : 10,822.43 = 4,305.77 : x
  2. Step 2: Convert to fraction form
    7,842.33/10,822.43 = 4,305.77/x
  3. Step 3: Cross multiply
    7,842.33x = 10,822.43 × 4,305.77
  4. Step 4: Simplify right side
    7,842.33x = 46,598,818.78
  5. Step 5: Solve for x
    x = 46,598,818.78/7,842.33
  6. Step 6: Final answer
    x = 5,941.96

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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.