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Finding the Fourth Proportional to 11,052, 15,251.84 and 6,084

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Solution

The fourth proportional to 11,052, 15,251.84 and 6,084 is: 8,395.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,052 : 15,251.84 = 6,084 : x
  2. Step 2: Convert to fraction form
    11,052/15,251.84 = 6,084/x
  3. Step 3: Cross multiply
    11,052x = 15,251.84 × 6,084
  4. Step 4: Simplify right side
    11,052x = 92,792,194.56
  5. Step 5: Solve for x
    x = 92,792,194.56/11,052
  6. Step 6: Final answer
    x = 8,395.96

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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.