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Finding the Fourth Proportional to 10,787, 16,181.52 and 3,768.28

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Solution

The fourth proportional to 10,787, 16,181.52 and 3,768.28 is: 5,652.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,787 : 16,181.52 = 3,768.28 : x
  2. Step 2: Convert to fraction form
    10,787/16,181.52 = 3,768.28/x
  3. Step 3: Cross multiply
    10,787x = 16,181.52 × 3,768.28
  4. Step 4: Simplify right side
    10,787x = 60,976,498.19
  5. Step 5: Solve for x
    x = 60,976,498.19/10,787
  6. Step 6: Final answer
    x = 5,652.78

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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.