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Finding the Fourth Proportional to 11,806.05, 16,283.93 and 7,610.25

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Solution

The fourth proportional to 11,806.05, 16,283.93 and 7,610.25 is: 10,496.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,806.05 : 16,283.93 = 7,610.25 : x
  2. Step 2: Convert to fraction form
    11,806.05/16,283.93 = 7,610.25/x
  3. Step 3: Cross multiply
    11,806.05x = 16,283.93 × 7,610.25
  4. Step 4: Simplify right side
    11,806.05x = 123,924,740.23
  5. Step 5: Solve for x
    x = 123,924,740.23/11,806.05
  6. Step 6: Final answer
    x = 10,496.71

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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.