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Finding the Fourth Proportional to 10,382.20, 15,564.04 and 3,806.85

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Solution

The fourth proportional to 10,382.20, 15,564.04 and 3,806.85 is: 5,706.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,382.20 : 15,564.04 = 3,806.85 : x
  2. Step 2: Convert to fraction form
    10,382.20/15,564.04 = 3,806.85/x
  3. Step 3: Cross multiply
    10,382.20x = 15,564.04 × 3,806.85
  4. Step 4: Simplify right side
    10,382.20x = 59,249,946.64
  5. Step 5: Solve for x
    x = 59,249,946.64/10,382.20
  6. Step 6: Final answer
    x = 5,706.88

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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.