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Finding the Fourth Proportional to 7,842.20, 10,822.19 and 4,257.23

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Solution

The fourth proportional to 7,842.20, 10,822.19 and 4,257.23 is: 5,874.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,842.20 : 10,822.19 = 4,257.23 : x
  2. Step 2: Convert to fraction form
    7,842.20/10,822.19 = 4,257.23/x
  3. Step 3: Cross multiply
    7,842.20x = 10,822.19 × 4,257.23
  4. Step 4: Simplify right side
    7,842.20x = 46,072,514.24
  5. Step 5: Solve for x
    x = 46,072,514.24/7,842.20
  6. Step 6: Final answer
    x = 5,874.95

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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.