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Finding the Fourth Proportional to 10,382.88, 15,576.48 and 3,808.80

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Solution

The fourth proportional to 10,382.88, 15,576.48 and 3,808.80 is: 5,713.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,382.88 : 15,576.48 = 3,808.80 : x
  2. Step 2: Convert to fraction form
    10,382.88/15,576.48 = 3,808.80/x
  3. Step 3: Cross multiply
    10,382.88x = 15,576.48 × 3,808.80
  4. Step 4: Simplify right side
    10,382.88x = 59,327,697.02
  5. Step 5: Solve for x
    x = 59,327,697.02/10,382.88
  6. Step 6: Final answer
    x = 5,713.99

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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.