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Finding the Fourth Proportional to 7,773.30, 11,659.68 and 2,226.69

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Solution

The fourth proportional to 7,773.30, 11,659.68 and 2,226.69 is: 3,339.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,773.30 : 11,659.68 = 2,226.69 : x
  2. Step 2: Convert to fraction form
    7,773.30/11,659.68 = 2,226.69/x
  3. Step 3: Cross multiply
    7,773.30x = 11,659.68 × 2,226.69
  4. Step 4: Simplify right side
    7,773.30x = 25,962,492.86
  5. Step 5: Solve for x
    x = 25,962,492.86/7,773.30
  6. Step 6: Final answer
    x = 3,339.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.