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Finding the Fourth Proportional to 7,984.38, 11,016.01 and 4,626.55

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Solution

The fourth proportional to 7,984.38, 11,016.01 and 4,626.55 is: 6,383.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,984.38 : 11,016.01 = 4,626.55 : x
  2. Step 2: Convert to fraction form
    7,984.38/11,016.01 = 4,626.55/x
  3. Step 3: Cross multiply
    7,984.38x = 11,016.01 × 4,626.55
  4. Step 4: Simplify right side
    7,984.38x = 50,966,047.38
  5. Step 5: Solve for x
    x = 50,966,047.38/7,984.38
  6. Step 6: Final answer
    x = 6,383.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.