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Finding the Fourth Proportional to 8,541, 11,786.58 and 4,815

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Solution

The fourth proportional to 8,541, 11,786.58 and 4,815 is: 6,644.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,541 : 11,786.58 = 4,815 : x
  2. Step 2: Convert to fraction form
    8,541/11,786.58 = 4,815/x
  3. Step 3: Cross multiply
    8,541x = 11,786.58 × 4,815
  4. Step 4: Simplify right side
    8,541x = 56,752,382.70
  5. Step 5: Solve for x
    x = 56,752,382.70/8,541
  6. Step 6: Final answer
    x = 6,644.70

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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.