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Finding the Fourth Proportional to 11,887.73, 16,405.06 and 6,582.89

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Solution

The fourth proportional to 11,887.73, 16,405.06 and 6,582.89 is: 9,084.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,887.73 : 16,405.06 = 6,582.89 : x
  2. Step 2: Convert to fraction form
    11,887.73/16,405.06 = 6,582.89/x
  3. Step 3: Cross multiply
    11,887.73x = 16,405.06 × 6,582.89
  4. Step 4: Simplify right side
    11,887.73x = 107,992,623.40
  5. Step 5: Solve for x
    x = 107,992,623.40/11,887.73
  6. Step 6: Final answer
    x = 9,084.38

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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.