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Finding the Fourth Proportional to 6,786.29, 10,178.64 and 1,856.31

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Solution

The fourth proportional to 6,786.29, 10,178.64 and 1,856.31 is: 2,784.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,786.29 : 10,178.64 = 1,856.31 : x
  2. Step 2: Convert to fraction form
    6,786.29/10,178.64 = 1,856.31/x
  3. Step 3: Cross multiply
    6,786.29x = 10,178.64 × 1,856.31
  4. Step 4: Simplify right side
    6,786.29x = 18,894,711.22
  5. Step 5: Solve for x
    x = 18,894,711.22/6,786.29
  6. Step 6: Final answer
    x = 2,784.25

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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.