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Finding the Fourth Proportional to 8,138.39, 11,224.81 and 5,907.65

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Solution

The fourth proportional to 8,138.39, 11,224.81 and 5,907.65 is: 8,148.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,138.39 : 11,224.81 = 5,907.65 : x
  2. Step 2: Convert to fraction form
    8,138.39/11,224.81 = 5,907.65/x
  3. Step 3: Cross multiply
    8,138.39x = 11,224.81 × 5,907.65
  4. Step 4: Simplify right side
    8,138.39x = 66,312,200.06
  5. Step 5: Solve for x
    x = 66,312,200.06/8,138.39
  6. Step 6: Final answer
    x = 8,148.08

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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.