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Finding the Fourth Proportional to 11,780.24, 17,674.80 and 7,392.80

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Solution

The fourth proportional to 11,780.24, 17,674.80 and 7,392.80 is: 11,091.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,780.24 : 17,674.80 = 7,392.80 : x
  2. Step 2: Convert to fraction form
    11,780.24/17,674.80 = 7,392.80/x
  3. Step 3: Cross multiply
    11,780.24x = 17,674.80 × 7,392.80
  4. Step 4: Simplify right side
    11,780.24x = 130,666,261.44
  5. Step 5: Solve for x
    x = 130,666,261.44/11,780.24
  6. Step 6: Final answer
    x = 11,091.99

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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.