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Finding the Fourth Proportional to 7,367.63, 11,048.81 and 3,207.47

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Solution

The fourth proportional to 7,367.63, 11,048.81 and 3,207.47 is: 4,810.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,367.63 : 11,048.81 = 3,207.47 : x
  2. Step 2: Convert to fraction form
    7,367.63/11,048.81 = 3,207.47/x
  3. Step 3: Cross multiply
    7,367.63x = 11,048.81 × 3,207.47
  4. Step 4: Simplify right side
    7,367.63x = 35,438,655.33
  5. Step 5: Solve for x
    x = 35,438,655.33/7,367.63
  6. Step 6: Final answer
    x = 4,810.05

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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.