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Finding the Fourth Proportional to 7,999.80, 12,002.40 and 3,842.40

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Solution

The fourth proportional to 7,999.80, 12,002.40 and 3,842.40 is: 5,764.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,999.80 : 12,002.40 = 3,842.40 : x
  2. Step 2: Convert to fraction form
    7,999.80/12,002.40 = 3,842.40/x
  3. Step 3: Cross multiply
    7,999.80x = 12,002.40 × 3,842.40
  4. Step 4: Simplify right side
    7,999.80x = 46,118,021.76
  5. Step 5: Solve for x
    x = 46,118,021.76/7,999.80
  6. Step 6: Final answer
    x = 5,764.90

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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.