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Finding the Fourth Proportional to 10,203.92, 15,306.07 and 2,808.34

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Solution

The fourth proportional to 10,203.92, 15,306.07 and 2,808.34 is: 4,212.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,203.92 : 15,306.07 = 2,808.34 : x
  2. Step 2: Convert to fraction form
    10,203.92/15,306.07 = 2,808.34/x
  3. Step 3: Cross multiply
    10,203.92x = 15,306.07 × 2,808.34
  4. Step 4: Simplify right side
    10,203.92x = 42,984,648.62
  5. Step 5: Solve for x
    x = 42,984,648.62/10,203.92
  6. Step 6: Final answer
    x = 4,212.56

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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.