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Finding the Fourth Proportional to 10,830.46, 16,250.73 and 5,894.23

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Solution

The fourth proportional to 10,830.46, 16,250.73 and 5,894.23 is: 8,844.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,830.46 : 16,250.73 = 5,894.23 : x
  2. Step 2: Convert to fraction form
    10,830.46/16,250.73 = 5,894.23/x
  3. Step 3: Cross multiply
    10,830.46x = 16,250.73 × 5,894.23
  4. Step 4: Simplify right side
    10,830.46x = 95,785,540.29
  5. Step 5: Solve for x
    x = 95,785,540.29/10,830.46
  6. Step 6: Final answer
    x = 8,844.09

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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.