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Finding the Fourth Proportional to 6,842.94, 10,262.25 and 4,342.38

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Solution

The fourth proportional to 6,842.94, 10,262.25 and 4,342.38 is: 6,512.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,842.94 : 10,262.25 = 4,342.38 : x
  2. Step 2: Convert to fraction form
    6,842.94/10,262.25 = 4,342.38/x
  3. Step 3: Cross multiply
    6,842.94x = 10,262.25 × 4,342.38
  4. Step 4: Simplify right side
    6,842.94x = 44,562,589.16
  5. Step 5: Solve for x
    x = 44,562,589.16/6,842.94
  6. Step 6: Final answer
    x = 6,512.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.