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Finding the Fourth Proportional to 10,208.14, 15,310.72 and 3,186.52

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Solution

The fourth proportional to 10,208.14, 15,310.72 and 3,186.52 is: 4,779.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,208.14 : 15,310.72 = 3,186.52 : x
  2. Step 2: Convert to fraction form
    10,208.14/15,310.72 = 3,186.52/x
  3. Step 3: Cross multiply
    10,208.14x = 15,310.72 × 3,186.52
  4. Step 4: Simplify right side
    10,208.14x = 48,787,915.49
  5. Step 5: Solve for x
    x = 48,787,915.49/10,208.14
  6. Step 6: Final answer
    x = 4,779.31

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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.