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Finding the Fourth Proportional to 26,321.44, 39,479.28 and 7,852

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Solution

The fourth proportional to 26,321.44, 39,479.28 and 7,852 is: 11,777.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,321.44 : 39,479.28 = 7,852 : x
  2. Step 2: Convert to fraction form
    26,321.44/39,479.28 = 7,852/x
  3. Step 3: Cross multiply
    26,321.44x = 39,479.28 × 7,852
  4. Step 4: Simplify right side
    26,321.44x = 309,991,306.56
  5. Step 5: Solve for x
    x = 309,991,306.56/26,321.44
  6. Step 6: Final answer
    x = 11,777.14

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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.