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Finding the Fourth Proportional to 8,562.85, 11,816.96 and 4,786.43

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Solution

The fourth proportional to 8,562.85, 11,816.96 and 4,786.43 is: 6,605.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,562.85 : 11,816.96 = 4,786.43 : x
  2. Step 2: Convert to fraction form
    8,562.85/11,816.96 = 4,786.43/x
  3. Step 3: Cross multiply
    8,562.85x = 11,816.96 × 4,786.43
  4. Step 4: Simplify right side
    8,562.85x = 56,560,968.84
  5. Step 5: Solve for x
    x = 56,560,968.84/8,562.85
  6. Step 6: Final answer
    x = 6,605.39

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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.