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Finding the Fourth Proportional to 6,033.24, 8,316.18 and 6,013.80

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Solution

The fourth proportional to 6,033.24, 8,316.18 and 6,013.80 is: 8,289.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,033.24 : 8,316.18 = 6,013.80 : x
  2. Step 2: Convert to fraction form
    6,033.24/8,316.18 = 6,013.80/x
  3. Step 3: Cross multiply
    6,033.24x = 8,316.18 × 6,013.80
  4. Step 4: Simplify right side
    6,033.24x = 50,011,843.28
  5. Step 5: Solve for x
    x = 50,011,843.28/6,033.24
  6. Step 6: Final answer
    x = 8,289.38

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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.