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Finding the Fourth Proportional to 10,144, 15,218.56 and 2,848

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Solution

The fourth proportional to 10,144, 15,218.56 and 2,848 is: 4,272.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,144 : 15,218.56 = 2,848 : x
  2. Step 2: Convert to fraction form
    10,144/15,218.56 = 2,848/x
  3. Step 3: Cross multiply
    10,144x = 15,218.56 × 2,848
  4. Step 4: Simplify right side
    10,144x = 43,342,458.88
  5. Step 5: Solve for x
    x = 43,342,458.88/10,144
  6. Step 6: Final answer
    x = 4,272.72

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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.