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Finding the Fourth Proportional to 11,801.39, 16,280.47 and 7,610.99

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Solution

The fourth proportional to 11,801.39, 16,280.47 and 7,610.99 is: 10,499.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,801.39 : 16,280.47 = 7,610.99 : x
  2. Step 2: Convert to fraction form
    11,801.39/16,280.47 = 7,610.99/x
  3. Step 3: Cross multiply
    11,801.39x = 16,280.47 × 7,610.99
  4. Step 4: Simplify right side
    11,801.39x = 123,910,494.37
  5. Step 5: Solve for x
    x = 123,910,494.37/11,801.39
  6. Step 6: Final answer
    x = 10,499.65

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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.