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Finding the Fourth Proportional to 10,253.80, 15,380.70 and 6,754.60

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Solution

The fourth proportional to 10,253.80, 15,380.70 and 6,754.60 is: 10,131.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,253.80 : 15,380.70 = 6,754.60 : x
  2. Step 2: Convert to fraction form
    10,253.80/15,380.70 = 6,754.60/x
  3. Step 3: Cross multiply
    10,253.80x = 15,380.70 × 6,754.60
  4. Step 4: Simplify right side
    10,253.80x = 103,890,476.22
  5. Step 5: Solve for x
    x = 103,890,476.22/10,253.80
  6. Step 6: Final answer
    x = 10,131.90

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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.