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Finding the Fourth Proportional to 7,182.73, 9,914.86 and 4,199.54

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Solution

The fourth proportional to 7,182.73, 9,914.86 and 4,199.54 is: 5,796.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,182.73 : 9,914.86 = 4,199.54 : x
  2. Step 2: Convert to fraction form
    7,182.73/9,914.86 = 4,199.54/x
  3. Step 3: Cross multiply
    7,182.73x = 9,914.86 × 4,199.54
  4. Step 4: Simplify right side
    7,182.73x = 41,637,806.84
  5. Step 5: Solve for x
    x = 41,637,806.84/7,182.73
  6. Step 6: Final answer
    x = 5,796.93

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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.