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Finding the Fourth Proportional to 7,957.81, 11,938 and 2,693.14

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Solution

The fourth proportional to 7,957.81, 11,938 and 2,693.14 is: 4,040.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,957.81 : 11,938 = 2,693.14 : x
  2. Step 2: Convert to fraction form
    7,957.81/11,938 = 2,693.14/x
  3. Step 3: Cross multiply
    7,957.81x = 11,938 × 2,693.14
  4. Step 4: Simplify right side
    7,957.81x = 32,150,705.32
  5. Step 5: Solve for x
    x = 32,150,705.32/7,957.81
  6. Step 6: Final answer
    x = 4,040.14

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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.