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Finding the Fourth Proportional to 10,785.71, 16,179.26 and 3,390.48

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Solution

The fourth proportional to 10,785.71, 16,179.26 and 3,390.48 is: 5,085.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,785.71 : 16,179.26 = 3,390.48 : x
  2. Step 2: Convert to fraction form
    10,785.71/16,179.26 = 3,390.48/x
  3. Step 3: Cross multiply
    10,785.71x = 16,179.26 × 3,390.48
  4. Step 4: Simplify right side
    10,785.71x = 54,855,440.49
  5. Step 5: Solve for x
    x = 54,855,440.49/10,785.71
  6. Step 6: Final answer
    x = 5,085.94

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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.