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Finding the Fourth Proportional to 10,381.64, 15,563.20 and 3,806.28

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Solution

The fourth proportional to 10,381.64, 15,563.20 and 3,806.28 is: 5,706.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,381.64 : 15,563.20 = 3,806.28 : x
  2. Step 2: Convert to fraction form
    10,381.64/15,563.20 = 3,806.28/x
  3. Step 3: Cross multiply
    10,381.64x = 15,563.20 × 3,806.28
  4. Step 4: Simplify right side
    10,381.64x = 59,237,927.58
  5. Step 5: Solve for x
    x = 59,237,927.58/10,381.64
  6. Step 6: Final answer
    x = 5,706.03

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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.