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Finding the Fourth Proportional to 10,311.12, 15,468.39 and 3,384

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Solution

The fourth proportional to 10,311.12, 15,468.39 and 3,384 is: 5,076.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,311.12 : 15,468.39 = 3,384 : x
  2. Step 2: Convert to fraction form
    10,311.12/15,468.39 = 3,384/x
  3. Step 3: Cross multiply
    10,311.12x = 15,468.39 × 3,384
  4. Step 4: Simplify right side
    10,311.12x = 52,345,031.76
  5. Step 5: Solve for x
    x = 52,345,031.76/10,311.12
  6. Step 6: Final answer
    x = 5,076.56

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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.