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Finding the Fourth Proportional to 10,379.97, 15,572.39 and 3,809.25

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Solution

The fourth proportional to 10,379.97, 15,572.39 and 3,809.25 is: 5,714.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,379.97 : 15,572.39 = 3,809.25 : x
  2. Step 2: Convert to fraction form
    10,379.97/15,572.39 = 3,809.25/x
  3. Step 3: Cross multiply
    10,379.97x = 15,572.39 × 3,809.25
  4. Step 4: Simplify right side
    10,379.97x = 59,319,107.56
  5. Step 5: Solve for x
    x = 59,319,107.56/10,379.97
  6. Step 6: Final answer
    x = 5,714.77

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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.