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Finding the Fourth Proportional to 12,063.12, 16,646.88 and 6,757.62

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Solution

The fourth proportional to 12,063.12, 16,646.88 and 6,757.62 is: 9,325.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,063.12 : 16,646.88 = 6,757.62 : x
  2. Step 2: Convert to fraction form
    12,063.12/16,646.88 = 6,757.62/x
  3. Step 3: Cross multiply
    12,063.12x = 16,646.88 × 6,757.62
  4. Step 4: Simplify right side
    12,063.12x = 112,493,289.23
  5. Step 5: Solve for x
    x = 112,493,289.23/12,063.12
  6. Step 6: Final answer
    x = 9,325.39

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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.