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Finding the Fourth Proportional to 10,638.59, 15,958.53 and 3,243.56

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Solution

The fourth proportional to 10,638.59, 15,958.53 and 3,243.56 is: 4,865.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,638.59 : 15,958.53 = 3,243.56 : x
  2. Step 2: Convert to fraction form
    10,638.59/15,958.53 = 3,243.56/x
  3. Step 3: Cross multiply
    10,638.59x = 15,958.53 × 3,243.56
  4. Step 4: Simplify right side
    10,638.59x = 51,762,369.77
  5. Step 5: Solve for x
    x = 51,762,369.77/10,638.59
  6. Step 6: Final answer
    x = 4,865.53

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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.