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Finding the Fourth Proportional to 10,203.14, 15,304.78 and 2,808.38

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Solution

The fourth proportional to 10,203.14, 15,304.78 and 2,808.38 is: 4,212.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,203.14 : 15,304.78 = 2,808.38 : x
  2. Step 2: Convert to fraction form
    10,203.14/15,304.78 = 2,808.38/x
  3. Step 3: Cross multiply
    10,203.14x = 15,304.78 × 2,808.38
  4. Step 4: Simplify right side
    10,203.14x = 42,981,638.06
  5. Step 5: Solve for x
    x = 42,981,638.06/10,203.14
  6. Step 6: Final answer
    x = 4,212.59

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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.