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Finding the Fourth Proportional to 11,963.84, 17,945.63 and 3,079.13

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Solution

The fourth proportional to 11,963.84, 17,945.63 and 3,079.13 is: 4,618.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,963.84 : 17,945.63 = 3,079.13 : x
  2. Step 2: Convert to fraction form
    11,963.84/17,945.63 = 3,079.13/x
  3. Step 3: Cross multiply
    11,963.84x = 17,945.63 × 3,079.13
  4. Step 4: Simplify right side
    11,963.84x = 55,256,958.51
  5. Step 5: Solve for x
    x = 55,256,958.51/11,963.84
  6. Step 6: Final answer
    x = 4,618.67

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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.