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Finding the Fourth Proportional to 10,203.29, 15,305.02 and 2,808.16

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Solution

The fourth proportional to 10,203.29, 15,305.02 and 2,808.16 is: 4,212.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,203.29 : 15,305.02 = 2,808.16 : x
  2. Step 2: Convert to fraction form
    10,203.29/15,305.02 = 2,808.16/x
  3. Step 3: Cross multiply
    10,203.29x = 15,305.02 × 2,808.16
  4. Step 4: Simplify right side
    10,203.29x = 42,978,942.73
  5. Step 5: Solve for x
    x = 42,978,942.73/10,203.29
  6. Step 6: Final answer
    x = 4,212.26

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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.