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Finding the Fourth Proportional to 25,828, 38,748.48 and 7,360

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Solution

The fourth proportional to 25,828, 38,748.48 and 7,360 is: 11,041.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,828 : 38,748.48 = 7,360 : x
  2. Step 2: Convert to fraction form
    25,828/38,748.48 = 7,360/x
  3. Step 3: Cross multiply
    25,828x = 38,748.48 × 7,360
  4. Step 4: Simplify right side
    25,828x = 285,188,812.80
  5. Step 5: Solve for x
    x = 285,188,812.80/25,828
  6. Step 6: Final answer
    x = 11,041.85

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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.