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Finding the Fourth Proportional to 8,836.42, 12,194.28 and 4,857.80

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Solution

The fourth proportional to 8,836.42, 12,194.28 and 4,857.80 is: 6,703.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,836.42 : 12,194.28 = 4,857.80 : x
  2. Step 2: Convert to fraction form
    8,836.42/12,194.28 = 4,857.80/x
  3. Step 3: Cross multiply
    8,836.42x = 12,194.28 × 4,857.80
  4. Step 4: Simplify right side
    8,836.42x = 59,237,373.38
  5. Step 5: Solve for x
    x = 59,237,373.38/8,836.42
  6. Step 6: Final answer
    x = 6,703.78

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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.