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Finding the Fourth Proportional to 12,084.94, 16,689.87 and 8,317.83

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Solution

The fourth proportional to 12,084.94, 16,689.87 and 8,317.83 is: 11,487.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,084.94 : 16,689.87 = 8,317.83 : x
  2. Step 2: Convert to fraction form
    12,084.94/16,689.87 = 8,317.83/x
  3. Step 3: Cross multiply
    12,084.94x = 16,689.87 × 8,317.83
  4. Step 4: Simplify right side
    12,084.94x = 138,823,501.38
  5. Step 5: Solve for x
    x = 138,823,501.38/12,084.94
  6. Step 6: Final answer
    x = 11,487.31

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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.