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Finding the Fourth Proportional to 25,846.88, 38,763.90 and 7,126.00

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Solution

The fourth proportional to 25,846.88, 38,763.90 and 7,126.00 is: 10,687.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,846.88 : 38,763.90 = 7,126.00 : x
  2. Step 2: Convert to fraction form
    25,846.88/38,763.90 = 7,126.00/x
  3. Step 3: Cross multiply
    25,846.88x = 38,763.90 × 7,126.00
  4. Step 4: Simplify right side
    25,846.88x = 276,231,454.49
  5. Step 5: Solve for x
    x = 276,231,454.49/25,846.88
  6. Step 6: Final answer
    x = 10,687.23

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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.