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Finding the Fourth Proportional to 8,112.38, 11,195.08 and 4,575.51

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Solution

The fourth proportional to 8,112.38, 11,195.08 and 4,575.51 is: 6,314.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,112.38 : 11,195.08 = 4,575.51 : x
  2. Step 2: Convert to fraction form
    8,112.38/11,195.08 = 4,575.51/x
  3. Step 3: Cross multiply
    8,112.38x = 11,195.08 × 4,575.51
  4. Step 4: Simplify right side
    8,112.38x = 51,223,189.05
  5. Step 5: Solve for x
    x = 51,223,189.05/8,112.38
  6. Step 6: Final answer
    x = 6,314.20

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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.