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Finding the Fourth Proportional to 11,762.55, 17,636.81 and 4,745.79

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Solution

The fourth proportional to 11,762.55, 17,636.81 and 4,745.79 is: 7,115.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,762.55 : 17,636.81 = 4,745.79 : x
  2. Step 2: Convert to fraction form
    11,762.55/17,636.81 = 4,745.79/x
  3. Step 3: Cross multiply
    11,762.55x = 17,636.81 × 4,745.79
  4. Step 4: Simplify right side
    11,762.55x = 83,700,572.80
  5. Step 5: Solve for x
    x = 83,700,572.80/11,762.55
  6. Step 6: Final answer
    x = 7,115.85

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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.