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Finding the Fourth Proportional to 25,832, 38,748.36 and 7,364

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Solution

The fourth proportional to 25,832, 38,748.36 and 7,364 is: 11,046.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,832 : 38,748.36 = 7,364 : x
  2. Step 2: Convert to fraction form
    25,832/38,748.36 = 7,364/x
  3. Step 3: Cross multiply
    25,832x = 38,748.36 × 7,364
  4. Step 4: Simplify right side
    25,832x = 285,342,923.04
  5. Step 5: Solve for x
    x = 285,342,923.04/25,832
  6. Step 6: Final answer
    x = 11,046.10

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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.