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Finding the Fourth Proportional to 12,087.52, 16,676 and 7,363.60

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Solution

The fourth proportional to 12,087.52, 16,676 and 7,363.60 is: 10,158.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,087.52 : 16,676 = 7,363.60 : x
  2. Step 2: Convert to fraction form
    12,087.52/16,676 = 7,363.60/x
  3. Step 3: Cross multiply
    12,087.52x = 16,676 × 7,363.60
  4. Step 4: Simplify right side
    12,087.52x = 122,795,393.60
  5. Step 5: Solve for x
    x = 122,795,393.60/12,087.52
  6. Step 6: Final answer
    x = 10,158.86

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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.