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Finding the Fourth Proportional to 7,287.44, 10,936.74 and 2,905.16

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Solution

The fourth proportional to 7,287.44, 10,936.74 and 2,905.16 is: 4,359.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,287.44 : 10,936.74 = 2,905.16 : x
  2. Step 2: Convert to fraction form
    7,287.44/10,936.74 = 2,905.16/x
  3. Step 3: Cross multiply
    7,287.44x = 10,936.74 × 2,905.16
  4. Step 4: Simplify right side
    7,287.44x = 31,772,979.58
  5. Step 5: Solve for x
    x = 31,772,979.58/7,287.44
  6. Step 6: Final answer
    x = 4,359.96

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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.