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Finding the Fourth Proportional to 7,773.30, 11,659.77 and 2,226.51

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Solution

The fourth proportional to 7,773.30, 11,659.77 and 2,226.51 is: 3,339.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,773.30 : 11,659.77 = 2,226.51 : x
  2. Step 2: Convert to fraction form
    7,773.30/11,659.77 = 2,226.51/x
  3. Step 3: Cross multiply
    7,773.30x = 11,659.77 × 2,226.51
  4. Step 4: Simplify right side
    7,773.30x = 25,960,594.50
  5. Step 5: Solve for x
    x = 25,960,594.50/7,773.30
  6. Step 6: Final answer
    x = 3,339.71

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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.