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Finding the Fourth Proportional to 6,785.78, 10,179.68 and 2,402.87

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Solution

The fourth proportional to 6,785.78, 10,179.68 and 2,402.87 is: 3,604.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,785.78 : 10,179.68 = 2,402.87 : x
  2. Step 2: Convert to fraction form
    6,785.78/10,179.68 = 2,402.87/x
  3. Step 3: Cross multiply
    6,785.78x = 10,179.68 × 2,402.87
  4. Step 4: Simplify right side
    6,785.78x = 24,460,384.77
  5. Step 5: Solve for x
    x = 24,460,384.77/6,785.78
  6. Step 6: Final answer
    x = 3,604.66

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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.