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Finding the Fourth Proportional to 11,138.43, 16,710.42 and 7,857.93

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Solution

The fourth proportional to 11,138.43, 16,710.42 and 7,857.93 is: 11,788.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,138.43 : 16,710.42 = 7,857.93 : x
  2. Step 2: Convert to fraction form
    11,138.43/16,710.42 = 7,857.93/x
  3. Step 3: Cross multiply
    11,138.43x = 16,710.42 × 7,857.93
  4. Step 4: Simplify right side
    11,138.43x = 131,309,310.63
  5. Step 5: Solve for x
    x = 131,309,310.63/11,138.43
  6. Step 6: Final answer
    x = 11,788.85

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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.