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Finding the Fourth Proportional to 11,754.80, 17,632.20 and 7,319.60

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Solution

The fourth proportional to 11,754.80, 17,632.20 and 7,319.60 is: 10,979.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,754.80 : 17,632.20 = 7,319.60 : x
  2. Step 2: Convert to fraction form
    11,754.80/17,632.20 = 7,319.60/x
  3. Step 3: Cross multiply
    11,754.80x = 17,632.20 × 7,319.60
  4. Step 4: Simplify right side
    11,754.80x = 129,060,651.12
  5. Step 5: Solve for x
    x = 129,060,651.12/11,754.80
  6. Step 6: Final answer
    x = 10,979.40

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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.