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Finding the Fourth Proportional to 10,523.30, 15,780.84 and 3,945.90

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Solution

The fourth proportional to 10,523.30, 15,780.84 and 3,945.90 is: 5,917.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,523.30 : 15,780.84 = 3,945.90 : x
  2. Step 2: Convert to fraction form
    10,523.30/15,780.84 = 3,945.90/x
  3. Step 3: Cross multiply
    10,523.30x = 15,780.84 × 3,945.90
  4. Step 4: Simplify right side
    10,523.30x = 62,269,616.56
  5. Step 5: Solve for x
    x = 62,269,616.56/10,523.30
  6. Step 6: Final answer
    x = 5,917.31

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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.