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Finding the Fourth Proportional to 8,921.12, 12,311.48 and 4,942.14

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Solution

The fourth proportional to 8,921.12, 12,311.48 and 4,942.14 is: 6,820.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,921.12 : 12,311.48 = 4,942.14 : x
  2. Step 2: Convert to fraction form
    8,921.12/12,311.48 = 4,942.14/x
  3. Step 3: Cross multiply
    8,921.12x = 12,311.48 × 4,942.14
  4. Step 4: Simplify right side
    8,921.12x = 60,845,033.06
  5. Step 5: Solve for x
    x = 60,845,033.06/8,921.12
  6. Step 6: Final answer
    x = 6,820.34

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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.