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Finding the Fourth Proportional to 11,887.95, 16,405.38 and 6,582.77

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Solution

The fourth proportional to 11,887.95, 16,405.38 and 6,582.77 is: 9,084.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,887.95 : 16,405.38 = 6,582.77 : x
  2. Step 2: Convert to fraction form
    11,887.95/16,405.38 = 6,582.77/x
  3. Step 3: Cross multiply
    11,887.95x = 16,405.38 × 6,582.77
  4. Step 4: Simplify right side
    11,887.95x = 107,992,843.30
  5. Step 5: Solve for x
    x = 107,992,843.30/11,887.95
  6. Step 6: Final answer
    x = 9,084.23

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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.