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Finding the Fourth Proportional to 7,842.80, 10,822.74 and 4,306.08

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Solution

The fourth proportional to 7,842.80, 10,822.74 and 4,306.08 is: 5,942.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,842.80 : 10,822.74 = 4,306.08 : x
  2. Step 2: Convert to fraction form
    7,842.80/10,822.74 = 4,306.08/x
  3. Step 3: Cross multiply
    7,842.80x = 10,822.74 × 4,306.08
  4. Step 4: Simplify right side
    7,842.80x = 46,603,584.26
  5. Step 5: Solve for x
    x = 46,603,584.26/7,842.80
  6. Step 6: Final answer
    x = 5,942.21

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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.