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Finding the Fourth Proportional to 10,783, 16,174.57 and 3,762.99

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Solution

The fourth proportional to 10,783, 16,174.57 and 3,762.99 is: 5,644.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,783 : 16,174.57 = 3,762.99 : x
  2. Step 2: Convert to fraction form
    10,783/16,174.57 = 3,762.99/x
  3. Step 3: Cross multiply
    10,783x = 16,174.57 × 3,762.99
  4. Step 4: Simplify right side
    10,783x = 60,864,745.16
  5. Step 5: Solve for x
    x = 60,864,745.16/10,783
  6. Step 6: Final answer
    x = 5,644.51

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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.