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Finding the Fourth Proportional to 11,731.60, 16,178.79 and 7,960.24

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Solution

The fourth proportional to 11,731.60, 16,178.79 and 7,960.24 is: 10,977.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,731.60 : 16,178.79 = 7,960.24 : x
  2. Step 2: Convert to fraction form
    11,731.60/16,178.79 = 7,960.24/x
  3. Step 3: Cross multiply
    11,731.60x = 16,178.79 × 7,960.24
  4. Step 4: Simplify right side
    11,731.60x = 128,787,051.31
  5. Step 5: Solve for x
    x = 128,787,051.31/11,731.60
  6. Step 6: Final answer
    x = 10,977.79

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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.