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Finding the Fourth Proportional to 11,763.88, 16,228.48 and 6,793

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Solution

The fourth proportional to 11,763.88, 16,228.48 and 6,793 is: 9,371.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,763.88 : 16,228.48 = 6,793 : x
  2. Step 2: Convert to fraction form
    11,763.88/16,228.48 = 6,793/x
  3. Step 3: Cross multiply
    11,763.88x = 16,228.48 × 6,793
  4. Step 4: Simplify right side
    11,763.88x = 110,240,064.64
  5. Step 5: Solve for x
    x = 110,240,064.64/11,763.88
  6. Step 6: Final answer
    x = 9,371.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.