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Finding the Fourth Proportional to 10,632.70, 15,938.76 and 5,954.98

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Solution

The fourth proportional to 10,632.70, 15,938.76 and 5,954.98 is: 8,926.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,632.70 : 15,938.76 = 5,954.98 : x
  2. Step 2: Convert to fraction form
    10,632.70/15,938.76 = 5,954.98/x
  3. Step 3: Cross multiply
    10,632.70x = 15,938.76 × 5,954.98
  4. Step 4: Simplify right side
    10,632.70x = 94,914,997.02
  5. Step 5: Solve for x
    x = 94,914,997.02/10,632.70
  6. Step 6: Final answer
    x = 8,926.71

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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.