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Finding the Fourth Proportional to 10,304.75, 15,446.33 and 4,761.73

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Solution

The fourth proportional to 10,304.75, 15,446.33 and 4,761.73 is: 7,137.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,304.75 : 15,446.33 = 4,761.73 : x
  2. Step 2: Convert to fraction form
    10,304.75/15,446.33 = 4,761.73/x
  3. Step 3: Cross multiply
    10,304.75x = 15,446.33 × 4,761.73
  4. Step 4: Simplify right side
    10,304.75x = 73,551,151.91
  5. Step 5: Solve for x
    x = 73,551,151.91/10,304.75
  6. Step 6: Final answer
    x = 7,137.60

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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.