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Finding the Fourth Proportional to 8,178.42, 11,286.54 and 4,641.42

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Solution

The fourth proportional to 8,178.42, 11,286.54 and 4,641.42 is: 6,405.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,178.42 : 11,286.54 = 4,641.42 : x
  2. Step 2: Convert to fraction form
    8,178.42/11,286.54 = 4,641.42/x
  3. Step 3: Cross multiply
    8,178.42x = 11,286.54 × 4,641.42
  4. Step 4: Simplify right side
    8,178.42x = 52,385,572.49
  5. Step 5: Solve for x
    x = 52,385,572.49/8,178.42
  6. Step 6: Final answer
    x = 6,405.34

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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.