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Finding the Fourth Proportional to 11,890.49, 16,408.95 and 6,585.38

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Solution

The fourth proportional to 11,890.49, 16,408.95 and 6,585.38 is: 9,087.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,890.49 : 16,408.95 = 6,585.38 : x
  2. Step 2: Convert to fraction form
    11,890.49/16,408.95 = 6,585.38/x
  3. Step 3: Cross multiply
    11,890.49x = 16,408.95 × 6,585.38
  4. Step 4: Simplify right side
    11,890.49x = 108,059,171.15
  5. Step 5: Solve for x
    x = 108,059,171.15/11,890.49
  6. Step 6: Final answer
    x = 9,087.87

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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.