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Finding the Fourth Proportional to 25,805, 38,714 and 7,337

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Solution

The fourth proportional to 25,805, 38,714 and 7,337 is: 11,007.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,805 : 38,714 = 7,337 : x
  2. Step 2: Convert to fraction form
    25,805/38,714 = 7,337/x
  3. Step 3: Cross multiply
    25,805x = 38,714 × 7,337
  4. Step 4: Simplify right side
    25,805x = 284,044,618
  5. Step 5: Solve for x
    x = 284,044,618/25,805
  6. Step 6: Final answer
    x = 11,007.35

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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.