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Finding the Fourth Proportional to 7,270.09, 10,902.30 and 3,112.09

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Solution

The fourth proportional to 7,270.09, 10,902.30 and 3,112.09 is: 4,666.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,270.09 : 10,902.30 = 3,112.09 : x
  2. Step 2: Convert to fraction form
    7,270.09/10,902.30 = 3,112.09/x
  3. Step 3: Cross multiply
    7,270.09x = 10,902.30 × 3,112.09
  4. Step 4: Simplify right side
    7,270.09x = 33,928,938.81
  5. Step 5: Solve for x
    x = 33,928,938.81/7,270.09
  6. Step 6: Final answer
    x = 4,666.92

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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.