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Finding the Fourth Proportional to 7,633.44, 11,452.75 and 4,819

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Solution

The fourth proportional to 7,633.44, 11,452.75 and 4,819 is: 7,230.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,633.44 : 11,452.75 = 4,819 : x
  2. Step 2: Convert to fraction form
    7,633.44/11,452.75 = 4,819/x
  3. Step 3: Cross multiply
    7,633.44x = 11,452.75 × 4,819
  4. Step 4: Simplify right side
    7,633.44x = 55,190,802.25
  5. Step 5: Solve for x
    x = 55,190,802.25/7,633.44
  6. Step 6: Final answer
    x = 7,230.14

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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.