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Finding the Fourth Proportional to 11,857.88, 16,371.51 and 7,610.77

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Solution

The fourth proportional to 11,857.88, 16,371.51 and 7,610.77 is: 10,507.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,857.88 : 16,371.51 = 7,610.77 : x
  2. Step 2: Convert to fraction form
    11,857.88/16,371.51 = 7,610.77/x
  3. Step 3: Cross multiply
    11,857.88x = 16,371.51 × 7,610.77
  4. Step 4: Simplify right side
    11,857.88x = 124,599,789.09
  5. Step 5: Solve for x
    x = 124,599,789.09/11,857.88
  6. Step 6: Final answer
    x = 10,507.76

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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.