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Finding the Fourth Proportional to 7,112.19, 10,659.37 and 5,474.91

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Solution

The fourth proportional to 7,112.19, 10,659.37 and 5,474.91 is: 8,205.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,112.19 : 10,659.37 = 5,474.91 : x
  2. Step 2: Convert to fraction form
    7,112.19/10,659.37 = 5,474.91/x
  3. Step 3: Cross multiply
    7,112.19x = 10,659.37 × 5,474.91
  4. Step 4: Simplify right side
    7,112.19x = 58,359,091.41
  5. Step 5: Solve for x
    x = 58,359,091.41/7,112.19
  6. Step 6: Final answer
    x = 8,205.50

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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.