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Finding the Fourth Proportional to 8,921.30, 12,310.38 and 4,941.42

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Solution

The fourth proportional to 8,921.30, 12,310.38 and 4,941.42 is: 6,818.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,921.30 : 12,310.38 = 4,941.42 : x
  2. Step 2: Convert to fraction form
    8,921.30/12,310.38 = 4,941.42/x
  3. Step 3: Cross multiply
    8,921.30x = 12,310.38 × 4,941.42
  4. Step 4: Simplify right side
    8,921.30x = 60,830,757.94
  5. Step 5: Solve for x
    x = 60,830,757.94/8,921.30
  6. Step 6: Final answer
    x = 6,818.60

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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.