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Finding the Fourth Proportional to 7,765.83, 11,645.91 and 2,834.01

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Solution

The fourth proportional to 7,765.83, 11,645.91 and 2,834.01 is: 4,249.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,765.83 : 11,645.91 = 2,834.01 : x
  2. Step 2: Convert to fraction form
    7,765.83/11,645.91 = 2,834.01/x
  3. Step 3: Cross multiply
    7,765.83x = 11,645.91 × 2,834.01
  4. Step 4: Simplify right side
    7,765.83x = 33,004,625.40
  5. Step 5: Solve for x
    x = 33,004,625.40/7,765.83
  6. Step 6: Final answer
    x = 4,249.98

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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.