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Finding the Fourth Proportional to 10,380.88, 15,570.48 and 3,806.80

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Solution

The fourth proportional to 10,380.88, 15,570.48 and 3,806.80 is: 5,709.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,380.88 : 15,570.48 = 3,806.80 : x
  2. Step 2: Convert to fraction form
    10,380.88/15,570.48 = 3,806.80/x
  3. Step 3: Cross multiply
    10,380.88x = 15,570.48 × 3,806.80
  4. Step 4: Simplify right side
    10,380.88x = 59,273,703.26
  5. Step 5: Solve for x
    x = 59,273,703.26/10,380.88
  6. Step 6: Final answer
    x = 5,709.89

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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.