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Finding the Fourth Proportional to 25,626, 38,445.48 and 7,158

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Solution

The fourth proportional to 25,626, 38,445.48 and 7,158 is: 10,738.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,626 : 38,445.48 = 7,158 : x
  2. Step 2: Convert to fraction form
    25,626/38,445.48 = 7,158/x
  3. Step 3: Cross multiply
    25,626x = 38,445.48 × 7,158
  4. Step 4: Simplify right side
    25,626x = 275,192,745.84
  5. Step 5: Solve for x
    x = 275,192,745.84/25,626
  6. Step 6: Final answer
    x = 10,738.81

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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.