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Finding the Fourth Proportional to 10,638.96, 15,958.44 and 4,797.24

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Solution

The fourth proportional to 10,638.96, 15,958.44 and 4,797.24 is: 7,195.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,638.96 : 15,958.44 = 4,797.24 : x
  2. Step 2: Convert to fraction form
    10,638.96/15,958.44 = 4,797.24/x
  3. Step 3: Cross multiply
    10,638.96x = 15,958.44 × 4,797.24
  4. Step 4: Simplify right side
    10,638.96x = 76,556,466.71
  5. Step 5: Solve for x
    x = 76,556,466.71/10,638.96
  6. Step 6: Final answer
    x = 7,195.86

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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.