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Finding the Fourth Proportional to 8,133.92, 11,223.60 and 4,775.44

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Solution

The fourth proportional to 8,133.92, 11,223.60 and 4,775.44 is: 6,589.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,133.92 : 11,223.60 = 4,775.44 : x
  2. Step 2: Convert to fraction form
    8,133.92/11,223.60 = 4,775.44/x
  3. Step 3: Cross multiply
    8,133.92x = 11,223.60 × 4,775.44
  4. Step 4: Simplify right side
    8,133.92x = 53,597,628.38
  5. Step 5: Solve for x
    x = 53,597,628.38/8,133.92
  6. Step 6: Final answer
    x = 6,589.40

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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.