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Finding the Fourth Proportional to 11,708.56, 16,130.16 and 8,165.44

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Solution

The fourth proportional to 11,708.56, 16,130.16 and 8,165.44 is: 11,249.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,708.56 : 16,130.16 = 8,165.44 : x
  2. Step 2: Convert to fraction form
    11,708.56/16,130.16 = 8,165.44/x
  3. Step 3: Cross multiply
    11,708.56x = 16,130.16 × 8,165.44
  4. Step 4: Simplify right side
    11,708.56x = 131,709,853.67
  5. Step 5: Solve for x
    x = 131,709,853.67/11,708.56
  6. Step 6: Final answer
    x = 11,249.02

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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.