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Finding the Fourth Proportional to 10,381.84, 15,563.48 and 3,806.48

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Solution

The fourth proportional to 10,381.84, 15,563.48 and 3,806.48 is: 5,706.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,381.84 : 15,563.48 = 3,806.48 : x
  2. Step 2: Convert to fraction form
    10,381.84/15,563.48 = 3,806.48/x
  3. Step 3: Cross multiply
    10,381.84x = 15,563.48 × 3,806.48
  4. Step 4: Simplify right side
    10,381.84x = 59,242,075.35
  5. Step 5: Solve for x
    x = 59,242,075.35/10,381.84
  6. Step 6: Final answer
    x = 5,706.32

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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.