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Finding the Fourth Proportional to 7,189.38, 10,774.80 and 3,484.44

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Solution

The fourth proportional to 7,189.38, 10,774.80 and 3,484.44 is: 5,222.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,189.38 : 10,774.80 = 3,484.44 : x
  2. Step 2: Convert to fraction form
    7,189.38/10,774.80 = 3,484.44/x
  3. Step 3: Cross multiply
    7,189.38x = 10,774.80 × 3,484.44
  4. Step 4: Simplify right side
    7,189.38x = 37,544,144.11
  5. Step 5: Solve for x
    x = 37,544,144.11/7,189.38
  6. Step 6: Final answer
    x = 5,222.17

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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.