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Finding the Fourth Proportional to 6,785.93, 10,178.94 and 1,856.09

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Solution

The fourth proportional to 6,785.93, 10,178.94 and 1,856.09 is: 2,784.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,785.93 : 10,178.94 = 1,856.09 : x
  2. Step 2: Convert to fraction form
    6,785.93/10,178.94 = 1,856.09/x
  3. Step 3: Cross multiply
    6,785.93x = 10,178.94 × 1,856.09
  4. Step 4: Simplify right side
    6,785.93x = 18,893,028.74
  5. Step 5: Solve for x
    x = 18,893,028.74/6,785.93
  6. Step 6: Final answer
    x = 2,784.15

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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.