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Finding the Fourth Proportional to 25,379.64, 38,067.84 and 7,848

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Solution

The fourth proportional to 25,379.64, 38,067.84 and 7,848 is: 11,771.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,379.64 : 38,067.84 = 7,848 : x
  2. Step 2: Convert to fraction form
    25,379.64/38,067.84 = 7,848/x
  3. Step 3: Cross multiply
    25,379.64x = 38,067.84 × 7,848
  4. Step 4: Simplify right side
    25,379.64x = 298,756,408.32
  5. Step 5: Solve for x
    x = 298,756,408.32/25,379.64
  6. Step 6: Final answer
    x = 11,771.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.