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Finding the Fourth Proportional to 11,755.38, 16,216.77 and 6,784.50

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Solution

The fourth proportional to 11,755.38, 16,216.77 and 6,784.50 is: 9,359.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,755.38 : 16,216.77 = 6,784.50 : x
  2. Step 2: Convert to fraction form
    11,755.38/16,216.77 = 6,784.50/x
  3. Step 3: Cross multiply
    11,755.38x = 16,216.77 × 6,784.50
  4. Step 4: Simplify right side
    11,755.38x = 110,022,676.07
  5. Step 5: Solve for x
    x = 110,022,676.07/11,755.38
  6. Step 6: Final answer
    x = 9,359.35

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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.