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Finding the Fourth Proportional to 11,866.46, 17,800.90 and 4,074.26

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Solution

The fourth proportional to 11,866.46, 17,800.90 and 4,074.26 is: 6,111.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,866.46 : 17,800.90 = 4,074.26 : x
  2. Step 2: Convert to fraction form
    11,866.46/17,800.90 = 4,074.26/x
  3. Step 3: Cross multiply
    11,866.46x = 17,800.90 × 4,074.26
  4. Step 4: Simplify right side
    11,866.46x = 72,525,494.83
  5. Step 5: Solve for x
    x = 72,525,494.83/11,866.46
  6. Step 6: Final answer
    x = 6,111.81

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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.