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Finding the Fourth Proportional to 7,231.74, 10,845.42 and 3,071.71

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Solution

The fourth proportional to 7,231.74, 10,845.42 and 3,071.71 is: 4,606.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,231.74 : 10,845.42 = 3,071.71 : x
  2. Step 2: Convert to fraction form
    7,231.74/10,845.42 = 3,071.71/x
  3. Step 3: Cross multiply
    7,231.74x = 10,845.42 × 3,071.71
  4. Step 4: Simplify right side
    7,231.74x = 33,313,985.07
  5. Step 5: Solve for x
    x = 33,313,985.07/7,231.74
  6. Step 6: Final answer
    x = 4,606.63

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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.