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Finding the Fourth Proportional to 10,782.50, 16,173.82 and 3,762.48

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Solution

The fourth proportional to 10,782.50, 16,173.82 and 3,762.48 is: 5,643.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,782.50 : 16,173.82 = 3,762.48 : x
  2. Step 2: Convert to fraction form
    10,782.50/16,173.82 = 3,762.48/x
  3. Step 3: Cross multiply
    10,782.50x = 16,173.82 × 3,762.48
  4. Step 4: Simplify right side
    10,782.50x = 60,853,674.27
  5. Step 5: Solve for x
    x = 60,853,674.27/10,782.50
  6. Step 6: Final answer
    x = 5,643.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.