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Finding the Fourth Proportional to 8,921.38, 12,311.08 and 4,942.45

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Solution

The fourth proportional to 8,921.38, 12,311.08 and 4,942.45 is: 6,820.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,921.38 : 12,311.08 = 4,942.45 : x
  2. Step 2: Convert to fraction form
    8,921.38/12,311.08 = 4,942.45/x
  3. Step 3: Cross multiply
    8,921.38x = 12,311.08 × 4,942.45
  4. Step 4: Simplify right side
    8,921.38x = 60,846,897.35
  5. Step 5: Solve for x
    x = 60,846,897.35/8,921.38
  6. Step 6: Final answer
    x = 6,820.35

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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.