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Finding the Fourth Proportional to 7,260.27, 10,892.09 and 2,262.40

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Solution

The fourth proportional to 7,260.27, 10,892.09 and 2,262.40 is: 3,394.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,260.27 : 10,892.09 = 2,262.40 : x
  2. Step 2: Convert to fraction form
    7,260.27/10,892.09 = 2,262.40/x
  3. Step 3: Cross multiply
    7,260.27x = 10,892.09 × 2,262.40
  4. Step 4: Simplify right side
    7,260.27x = 24,642,242.84
  5. Step 5: Solve for x
    x = 24,642,242.84/7,260.27
  6. Step 6: Final answer
    x = 3,394.12

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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.