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Finding the Fourth Proportional to 12,087.35, 16,680.50 and 6,782.19

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Solution

The fourth proportional to 12,087.35, 16,680.50 and 6,782.19 is: 9,359.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,087.35 : 16,680.50 = 6,782.19 : x
  2. Step 2: Convert to fraction form
    12,087.35/16,680.50 = 6,782.19/x
  3. Step 3: Cross multiply
    12,087.35x = 16,680.50 × 6,782.19
  4. Step 4: Simplify right side
    12,087.35x = 113,130,202.98
  5. Step 5: Solve for x
    x = 113,130,202.98/12,087.35
  6. Step 6: Final answer
    x = 9,359.39

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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.