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Finding the Fourth Proportional to 11,641.46, 16,084.00 and 8,120.39

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Solution

The fourth proportional to 11,641.46, 16,084.00 and 8,120.39 is: 11,219.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,641.46 : 16,084.00 = 8,120.39 : x
  2. Step 2: Convert to fraction form
    11,641.46/16,084.00 = 8,120.39/x
  3. Step 3: Cross multiply
    11,641.46x = 16,084.00 × 8,120.39
  4. Step 4: Simplify right side
    11,641.46x = 130,608,395.80
  5. Step 5: Solve for x
    x = 130,608,395.80/11,641.46
  6. Step 6: Final answer
    x = 11,219.24

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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.