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Finding the Fourth Proportional to 10,133.59, 15,202.73 and 3,208.09

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Solution

The fourth proportional to 10,133.59, 15,202.73 and 3,208.09 is: 4,812.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,133.59 : 15,202.73 = 3,208.09 : x
  2. Step 2: Convert to fraction form
    10,133.59/15,202.73 = 3,208.09/x
  3. Step 3: Cross multiply
    10,133.59x = 15,202.73 × 3,208.09
  4. Step 4: Simplify right side
    10,133.59x = 48,771,710.05
  5. Step 5: Solve for x
    x = 48,771,710.05/10,133.59
  6. Step 6: Final answer
    x = 4,812.88

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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.