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Finding the Fourth Proportional to 10,530.77, 15,786.39 and 3,961.31

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Solution

The fourth proportional to 10,530.77, 15,786.39 and 3,961.31 is: 5,938.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,530.77 : 15,786.39 = 3,961.31 : x
  2. Step 2: Convert to fraction form
    10,530.77/15,786.39 = 3,961.31/x
  3. Step 3: Cross multiply
    10,530.77x = 15,786.39 × 3,961.31
  4. Step 4: Simplify right side
    10,530.77x = 62,534,784.57
  5. Step 5: Solve for x
    x = 62,534,784.57/10,530.77
  6. Step 6: Final answer
    x = 5,938.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.