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Finding the Fourth Proportional to 7,836, 11,754.96 and 2,364

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Solution

The fourth proportional to 7,836, 11,754.96 and 2,364 is: 3,546.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,836 : 11,754.96 = 2,364 : x
  2. Step 2: Convert to fraction form
    7,836/11,754.96 = 2,364/x
  3. Step 3: Cross multiply
    7,836x = 11,754.96 × 2,364
  4. Step 4: Simplify right side
    7,836x = 27,788,725.44
  5. Step 5: Solve for x
    x = 27,788,725.44/7,836
  6. Step 6: Final answer
    x = 3,546.29

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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.