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Finding the Fourth Proportional to 7,992.96, 11,029.44 and 4,848

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Solution

The fourth proportional to 7,992.96, 11,029.44 and 4,848 is: 6,689.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,992.96 : 11,029.44 = 4,848 : x
  2. Step 2: Convert to fraction form
    7,992.96/11,029.44 = 4,848/x
  3. Step 3: Cross multiply
    7,992.96x = 11,029.44 × 4,848
  4. Step 4: Simplify right side
    7,992.96x = 53,470,725.12
  5. Step 5: Solve for x
    x = 53,470,725.12/7,992.96
  6. Step 6: Final answer
    x = 6,689.73

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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.