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Finding the Fourth Proportional to 11,655.20, 16,085.56 and 6,939.44

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Solution

The fourth proportional to 11,655.20, 16,085.56 and 6,939.44 is: 9,577.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,655.20 : 16,085.56 = 6,939.44 : x
  2. Step 2: Convert to fraction form
    11,655.20/16,085.56 = 6,939.44/x
  3. Step 3: Cross multiply
    11,655.20x = 16,085.56 × 6,939.44
  4. Step 4: Simplify right side
    11,655.20x = 111,624,778.49
  5. Step 5: Solve for x
    x = 111,624,778.49/11,655.20
  6. Step 6: Final answer
    x = 9,577.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.