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Finding the Fourth Proportional to 8,532.80, 11,761.44 and 7,380.80

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Solution

The fourth proportional to 8,532.80, 11,761.44 and 7,380.80 is: 10,173.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,532.80 : 11,761.44 = 7,380.80 : x
  2. Step 2: Convert to fraction form
    8,532.80/11,761.44 = 7,380.80/x
  3. Step 3: Cross multiply
    8,532.80x = 11,761.44 × 7,380.80
  4. Step 4: Simplify right side
    8,532.80x = 86,808,836.35
  5. Step 5: Solve for x
    x = 86,808,836.35/8,532.80
  6. Step 6: Final answer
    x = 10,173.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.