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Finding the Fourth Proportional to 11,970.60, 17,957.16 and 4,179.48

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Solution

The fourth proportional to 11,970.60, 17,957.16 and 4,179.48 is: 6,269.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,970.60 : 17,957.16 = 4,179.48 : x
  2. Step 2: Convert to fraction form
    11,970.60/17,957.16 = 4,179.48/x
  3. Step 3: Cross multiply
    11,970.60x = 17,957.16 × 4,179.48
  4. Step 4: Simplify right side
    11,970.60x = 75,051,591.08
  5. Step 5: Solve for x
    x = 75,051,591.08/11,970.60
  6. Step 6: Final answer
    x = 6,269.66

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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.