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Finding the Fourth Proportional to 10,208.44, 15,276.18 and 8,002

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Solution

The fourth proportional to 10,208.44, 15,276.18 and 8,002 is: 11,974.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,208.44 : 15,276.18 = 8,002 : x
  2. Step 2: Convert to fraction form
    10,208.44/15,276.18 = 8,002/x
  3. Step 3: Cross multiply
    10,208.44x = 15,276.18 × 8,002
  4. Step 4: Simplify right side
    10,208.44x = 122,239,992.36
  5. Step 5: Solve for x
    x = 122,239,992.36/10,208.44
  6. Step 6: Final answer
    x = 11,974.40

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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.