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Finding the Fourth Proportional to 7,842.90, 11,768.40 and 3,460.80

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Solution

The fourth proportional to 7,842.90, 11,768.40 and 3,460.80 is: 5,192.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,842.90 : 11,768.40 = 3,460.80 : x
  2. Step 2: Convert to fraction form
    7,842.90/11,768.40 = 3,460.80/x
  3. Step 3: Cross multiply
    7,842.90x = 11,768.40 × 3,460.80
  4. Step 4: Simplify right side
    7,842.90x = 40,728,078.72
  5. Step 5: Solve for x
    x = 40,728,078.72/7,842.90
  6. Step 6: Final answer
    x = 5,192.99

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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.