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Finding the Fourth Proportional to 11,690.56, 16,132.92 and 6,385.40

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Solution

The fourth proportional to 11,690.56, 16,132.92 and 6,385.40 is: 8,811.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,690.56 : 16,132.92 = 6,385.40 : x
  2. Step 2: Convert to fraction form
    11,690.56/16,132.92 = 6,385.40/x
  3. Step 3: Cross multiply
    11,690.56x = 16,132.92 × 6,385.40
  4. Step 4: Simplify right side
    11,690.56x = 103,015,147.37
  5. Step 5: Solve for x
    x = 103,015,147.37/11,690.56
  6. Step 6: Final answer
    x = 8,811.82

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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.