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Finding the Fourth Proportional to 11,983.32, 16,536.64 and 6,944.32

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Solution

The fourth proportional to 11,983.32, 16,536.64 and 6,944.32 is: 9,582.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,983.32 : 16,536.64 = 6,944.32 : x
  2. Step 2: Convert to fraction form
    11,983.32/16,536.64 = 6,944.32/x
  3. Step 3: Cross multiply
    11,983.32x = 16,536.64 × 6,944.32
  4. Step 4: Simplify right side
    11,983.32x = 114,835,719.88
  5. Step 5: Solve for x
    x = 114,835,719.88/11,983.32
  6. Step 6: Final answer
    x = 9,582.96

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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.