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Finding the Fourth Proportional to 7,234.74, 10,853.76 and 2,304.72

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Solution

The fourth proportional to 7,234.74, 10,853.76 and 2,304.72 is: 3,457.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,234.74 : 10,853.76 = 2,304.72 : x
  2. Step 2: Convert to fraction form
    7,234.74/10,853.76 = 2,304.72/x
  3. Step 3: Cross multiply
    7,234.74x = 10,853.76 × 2,304.72
  4. Step 4: Simplify right side
    7,234.74x = 25,014,877.75
  5. Step 5: Solve for x
    x = 25,014,877.75/7,234.74
  6. Step 6: Final answer
    x = 3,457.61

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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.