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Finding the Fourth Proportional to 7,272.09, 10,905.30 and 3,114.09

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Solution

The fourth proportional to 7,272.09, 10,905.30 and 3,114.09 is: 4,669.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,272.09 : 10,905.30 = 3,114.09 : x
  2. Step 2: Convert to fraction form
    7,272.09/10,905.30 = 3,114.09/x
  3. Step 3: Cross multiply
    7,272.09x = 10,905.30 × 3,114.09
  4. Step 4: Simplify right side
    7,272.09x = 33,960,085.68
  5. Step 5: Solve for x
    x = 33,960,085.68/7,272.09
  6. Step 6: Final answer
    x = 4,669.92

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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.