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Finding the Fourth Proportional to 7,992.35, 11,984.84 and 2,444.50

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Solution

The fourth proportional to 7,992.35, 11,984.84 and 2,444.50 is: 3,665.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,992.35 : 11,984.84 = 2,444.50 : x
  2. Step 2: Convert to fraction form
    7,992.35/11,984.84 = 2,444.50/x
  3. Step 3: Cross multiply
    7,992.35x = 11,984.84 × 2,444.50
  4. Step 4: Simplify right side
    7,992.35x = 29,296,980.14
  5. Step 5: Solve for x
    x = 29,296,980.14/7,992.35
  6. Step 6: Final answer
    x = 3,665.63

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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.