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Finding the Fourth Proportional to 7,234.74, 10,851.89 and 2,304.68

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Solution

The fourth proportional to 7,234.74, 10,851.89 and 2,304.68 is: 3,456.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,234.74 : 10,851.89 = 2,304.68 : x
  2. Step 2: Convert to fraction form
    7,234.74/10,851.89 = 2,304.68/x
  3. Step 3: Cross multiply
    7,234.74x = 10,851.89 × 2,304.68
  4. Step 4: Simplify right side
    7,234.74x = 25,010,068.06
  5. Step 5: Solve for x
    x = 25,010,068.06/7,234.74
  6. Step 6: Final answer
    x = 3,456.94

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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.