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Finding the Fourth Proportional to 8,554.52, 12,822.86 and 4,165.94

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Solution

The fourth proportional to 8,554.52, 12,822.86 and 4,165.94 is: 6,244.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,554.52 : 12,822.86 = 4,165.94 : x
  2. Step 2: Convert to fraction form
    8,554.52/12,822.86 = 4,165.94/x
  3. Step 3: Cross multiply
    8,554.52x = 12,822.86 × 4,165.94
  4. Step 4: Simplify right side
    8,554.52x = 53,419,265.39
  5. Step 5: Solve for x
    x = 53,419,265.39/8,554.52
  6. Step 6: Final answer
    x = 6,244.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.