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Finding the Fourth Proportional to 10,638.96, 15,958.56 and 4,394.67

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Solution

The fourth proportional to 10,638.96, 15,958.56 and 4,394.67 is: 6,592.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,638.96 : 15,958.56 = 4,394.67 : x
  2. Step 2: Convert to fraction form
    10,638.96/15,958.56 = 4,394.67/x
  3. Step 3: Cross multiply
    10,638.96x = 15,958.56 × 4,394.67
  4. Step 4: Simplify right side
    10,638.96x = 70,132,604.88
  5. Step 5: Solve for x
    x = 70,132,604.88/10,638.96
  6. Step 6: Final answer
    x = 6,592.05

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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.