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Finding the Fourth Proportional to 10,203.82, 15,305.72 and 2,809.06

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Solution

The fourth proportional to 10,203.82, 15,305.72 and 2,809.06 is: 4,213.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,203.82 : 15,305.72 = 2,809.06 : x
  2. Step 2: Convert to fraction form
    10,203.82/15,305.72 = 2,809.06/x
  3. Step 3: Cross multiply
    10,203.82x = 15,305.72 × 2,809.06
  4. Step 4: Simplify right side
    10,203.82x = 42,994,685.82
  5. Step 5: Solve for x
    x = 42,994,685.82/10,203.82
  6. Step 6: Final answer
    x = 4,213.59

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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.