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Finding the Fourth Proportional to 11,857.99, 16,371.66 and 7,610.89

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Solution

The fourth proportional to 11,857.99, 16,371.66 and 7,610.89 is: 10,507.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,857.99 : 16,371.66 = 7,610.89 : x
  2. Step 2: Convert to fraction form
    11,857.99/16,371.66 = 7,610.89/x
  3. Step 3: Cross multiply
    11,857.99x = 16,371.66 × 7,610.89
  4. Step 4: Simplify right side
    11,857.99x = 124,602,903.38
  5. Step 5: Solve for x
    x = 124,602,903.38/11,857.99
  6. Step 6: Final answer
    x = 10,507.93

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Why These Related Problems?

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