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Finding the Fourth Proportional to 10,382.40, 15,571.17 and 3,805.02

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Solution

The fourth proportional to 10,382.40, 15,571.17 and 3,805.02 is: 5,706.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,382.40 : 15,571.17 = 3,805.02 : x
  2. Step 2: Convert to fraction form
    10,382.40/15,571.17 = 3,805.02/x
  3. Step 3: Cross multiply
    10,382.40x = 15,571.17 × 3,805.02
  4. Step 4: Simplify right side
    10,382.40x = 59,248,613.27
  5. Step 5: Solve for x
    x = 59,248,613.27/10,382.40
  6. Step 6: Final answer
    x = 5,706.64

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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.