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Finding the Fourth Proportional to 7,180.29, 10,770.30 and 3,482.82

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Solution

The fourth proportional to 7,180.29, 10,770.30 and 3,482.82 is: 5,224.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,180.29 : 10,770.30 = 3,482.82 : x
  2. Step 2: Convert to fraction form
    7,180.29/10,770.30 = 3,482.82/x
  3. Step 3: Cross multiply
    7,180.29x = 10,770.30 × 3,482.82
  4. Step 4: Simplify right side
    7,180.29x = 37,511,016.25
  5. Step 5: Solve for x
    x = 37,511,016.25/7,180.29
  6. Step 6: Final answer
    x = 5,224.16

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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.