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Finding the Fourth Proportional to 11,659.24, 16,086.90 and 7,473.16

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Solution

The fourth proportional to 11,659.24, 16,086.90 and 7,473.16 is: 10,311.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,659.24 : 16,086.90 = 7,473.16 : x
  2. Step 2: Convert to fraction form
    11,659.24/16,086.90 = 7,473.16/x
  3. Step 3: Cross multiply
    11,659.24x = 16,086.90 × 7,473.16
  4. Step 4: Simplify right side
    11,659.24x = 120,219,977.60
  5. Step 5: Solve for x
    x = 120,219,977.60/11,659.24
  6. Step 6: Final answer
    x = 10,311.13

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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.