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Finding the Fourth Proportional to 11,800.38, 16,276.14 and 7,762.33

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Solution

The fourth proportional to 11,800.38, 16,276.14 and 7,762.33 is: 10,706.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,800.38 : 16,276.14 = 7,762.33 : x
  2. Step 2: Convert to fraction form
    11,800.38/16,276.14 = 7,762.33/x
  3. Step 3: Cross multiply
    11,800.38x = 16,276.14 × 7,762.33
  4. Step 4: Simplify right side
    11,800.38x = 126,340,790.15
  5. Step 5: Solve for x
    x = 126,340,790.15/11,800.38
  6. Step 6: Final answer
    x = 10,706.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.