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Finding the Fourth Proportional to 7,780.68, 11,672.97 and 2,234.49

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Solution

The fourth proportional to 7,780.68, 11,672.97 and 2,234.49 is: 3,352.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,780.68 : 11,672.97 = 2,234.49 : x
  2. Step 2: Convert to fraction form
    7,780.68/11,672.97 = 2,234.49/x
  3. Step 3: Cross multiply
    7,780.68x = 11,672.97 × 2,234.49
  4. Step 4: Simplify right side
    7,780.68x = 26,083,134.74
  5. Step 5: Solve for x
    x = 26,083,134.74/7,780.68
  6. Step 6: Final answer
    x = 3,352.30

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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.