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Finding the Fourth Proportional to 7,482.98, 11,224.46 and 1,936.88

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Solution

The fourth proportional to 7,482.98, 11,224.46 and 1,936.88 is: 2,905.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,482.98 : 11,224.46 = 1,936.88 : x
  2. Step 2: Convert to fraction form
    7,482.98/11,224.46 = 1,936.88/x
  3. Step 3: Cross multiply
    7,482.98x = 11,224.46 × 1,936.88
  4. Step 4: Simplify right side
    7,482.98x = 21,740,366.28
  5. Step 5: Solve for x
    x = 21,740,366.28/7,482.98
  6. Step 6: Final answer
    x = 2,905.31

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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.