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Finding the Fourth Proportional to 10,573.73, 14,591.76 and 6,324.97

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Solution

The fourth proportional to 10,573.73, 14,591.76 and 6,324.97 is: 8,728.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,573.73 : 14,591.76 = 6,324.97 : x
  2. Step 2: Convert to fraction form
    10,573.73/14,591.76 = 6,324.97/x
  3. Step 3: Cross multiply
    10,573.73x = 14,591.76 × 6,324.97
  4. Step 4: Simplify right side
    10,573.73x = 92,292,487.67
  5. Step 5: Solve for x
    x = 92,292,487.67/10,573.73
  6. Step 6: Final answer
    x = 8,728.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.