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Finding the Fourth Proportional to 7,616.27, 11,427.82 and 4,842.23

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Solution

The fourth proportional to 7,616.27, 11,427.82 and 4,842.23 is: 7,265.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,616.27 : 11,427.82 = 4,842.23 : x
  2. Step 2: Convert to fraction form
    7,616.27/11,427.82 = 4,842.23/x
  3. Step 3: Cross multiply
    7,616.27x = 11,427.82 × 4,842.23
  4. Step 4: Simplify right side
    7,616.27x = 55,336,063.59
  5. Step 5: Solve for x
    x = 55,336,063.59/7,616.27
  6. Step 6: Final answer
    x = 7,265.50

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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.