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Finding the Fourth Proportional to 10,785.38, 16,178.07 and 2,994.20

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Solution

The fourth proportional to 10,785.38, 16,178.07 and 2,994.20 is: 4,491.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,785.38 : 16,178.07 = 2,994.20 : x
  2. Step 2: Convert to fraction form
    10,785.38/16,178.07 = 2,994.20/x
  3. Step 3: Cross multiply
    10,785.38x = 16,178.07 × 2,994.20
  4. Step 4: Simplify right side
    10,785.38x = 48,440,296.30
  5. Step 5: Solve for x
    x = 48,440,296.30/10,785.38
  6. Step 6: Final answer
    x = 4,491.29

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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.