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Finding the Fourth Proportional to 10,785.39, 16,178.07 and 2,994.21

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Solution

The fourth proportional to 10,785.39, 16,178.07 and 2,994.21 is: 4,491.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,785.39 : 16,178.07 = 2,994.21 : x
  2. Step 2: Convert to fraction form
    10,785.39/16,178.07 = 2,994.21/x
  3. Step 3: Cross multiply
    10,785.39x = 16,178.07 × 2,994.21
  4. Step 4: Simplify right side
    10,785.39x = 48,440,538.97
  5. Step 5: Solve for x
    x = 48,440,538.97/10,785.39
  6. Step 6: Final answer
    x = 4,491.31

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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.