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Finding the Fourth Proportional to 12,105.10, 16,712.31 and 7,857.82

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Solution

The fourth proportional to 12,105.10, 16,712.31 and 7,857.82 is: 10,848.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,105.10 : 16,712.31 = 7,857.82 : x
  2. Step 2: Convert to fraction form
    12,105.10/16,712.31 = 7,857.82/x
  3. Step 3: Cross multiply
    12,105.10x = 16,712.31 × 7,857.82
  4. Step 4: Simplify right side
    12,105.10x = 131,322,323.76
  5. Step 5: Solve for x
    x = 131,322,323.76/12,105.10
  6. Step 6: Final answer
    x = 10,848.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.