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Finding the Fourth Proportional to 10,347.75, 15,523.25 and 3,423.87

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Solution

The fourth proportional to 10,347.75, 15,523.25 and 3,423.87 is: 5,136.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,347.75 : 15,523.25 = 3,423.87 : x
  2. Step 2: Convert to fraction form
    10,347.75/15,523.25 = 3,423.87/x
  3. Step 3: Cross multiply
    10,347.75x = 15,523.25 × 3,423.87
  4. Step 4: Simplify right side
    10,347.75x = 53,149,589.98
  5. Step 5: Solve for x
    x = 53,149,589.98/10,347.75
  6. Step 6: Final answer
    x = 5,136.34

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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.