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Finding the Fourth Proportional to 11,773.52, 17,661.92 and 3,980.24

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Solution

The fourth proportional to 11,773.52, 17,661.92 and 3,980.24 is: 5,970.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,773.52 : 17,661.92 = 3,980.24 : x
  2. Step 2: Convert to fraction form
    11,773.52/17,661.92 = 3,980.24/x
  3. Step 3: Cross multiply
    11,773.52x = 17,661.92 × 3,980.24
  4. Step 4: Simplify right side
    11,773.52x = 70,298,680.46
  5. Step 5: Solve for x
    x = 70,298,680.46/11,773.52
  6. Step 6: Final answer
    x = 5,970.91

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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.