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Finding the Fourth Proportional to 26,254, 39,381 and 7,786

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Solution

The fourth proportional to 26,254, 39,381 and 7,786 is: 11,679

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,254 : 39,381 = 7,786 : x
  2. Step 2: Convert to fraction form
    26,254/39,381 = 7,786/x
  3. Step 3: Cross multiply
    26,254x = 39,381 × 7,786
  4. Step 4: Simplify right side
    26,254x = 306,620,466
  5. Step 5: Solve for x
    x = 306,620,466/26,254
  6. Step 6: Final answer
    x = 11,679

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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.