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Finding the Fourth Proportional to 7,780.66, 11,673.30 and 3,623.12

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Solution

The fourth proportional to 7,780.66, 11,673.30 and 3,623.12 is: 5,435.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,780.66 : 11,673.30 = 3,623.12 : x
  2. Step 2: Convert to fraction form
    7,780.66/11,673.30 = 3,623.12/x
  3. Step 3: Cross multiply
    7,780.66x = 11,673.30 × 3,623.12
  4. Step 4: Simplify right side
    7,780.66x = 42,293,766.70
  5. Step 5: Solve for x
    x = 42,293,766.70/7,780.66
  6. Step 6: Final answer
    x = 5,435.76

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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.