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Finding the Fourth Proportional to 11,969.64, 17,957.70 and 4,179.06

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Solution

The fourth proportional to 11,969.64, 17,957.70 and 4,179.06 is: 6,269.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,969.64 : 17,957.70 = 4,179.06 : x
  2. Step 2: Convert to fraction form
    11,969.64/17,957.70 = 4,179.06/x
  3. Step 3: Cross multiply
    11,969.64x = 17,957.70 × 4,179.06
  4. Step 4: Simplify right side
    11,969.64x = 75,046,305.76
  5. Step 5: Solve for x
    x = 75,046,305.76/11,969.64
  6. Step 6: Final answer
    x = 6,269.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.