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Finding the Fourth Proportional to 12,857.16, 19,287.90 and 4,094.76

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Solution

The fourth proportional to 12,857.16, 19,287.90 and 4,094.76 is: 6,142.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,857.16 : 19,287.90 = 4,094.76 : x
  2. Step 2: Convert to fraction form
    12,857.16/19,287.90 = 4,094.76/x
  3. Step 3: Cross multiply
    12,857.16x = 19,287.90 × 4,094.76
  4. Step 4: Simplify right side
    12,857.16x = 78,979,321.40
  5. Step 5: Solve for x
    x = 78,979,321.40/12,857.16
  6. Step 6: Final answer
    x = 6,142.83

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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.