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Finding the Fourth Proportional to 7,774.74, 11,663.91 and 2,844.45

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Solution

The fourth proportional to 7,774.74, 11,663.91 and 2,844.45 is: 4,267.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,774.74 : 11,663.91 = 2,844.45 : x
  2. Step 2: Convert to fraction form
    7,774.74/11,663.91 = 2,844.45/x
  3. Step 3: Cross multiply
    7,774.74x = 11,663.91 × 2,844.45
  4. Step 4: Simplify right side
    7,774.74x = 33,177,408.80
  5. Step 5: Solve for x
    x = 33,177,408.80/7,774.74
  6. Step 6: Final answer
    x = 4,267.33

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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.