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Finding the Fourth Proportional to 7,228.27, 10,842.40 and 2,034.15

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Solution

The fourth proportional to 7,228.27, 10,842.40 and 2,034.15 is: 3,051.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,228.27 : 10,842.40 = 2,034.15 : x
  2. Step 2: Convert to fraction form
    7,228.27/10,842.40 = 2,034.15/x
  3. Step 3: Cross multiply
    7,228.27x = 10,842.40 × 2,034.15
  4. Step 4: Simplify right side
    7,228.27x = 22,055,029.84
  5. Step 5: Solve for x
    x = 22,055,029.84/7,228.27
  6. Step 6: Final answer
    x = 3,051.22

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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.