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Finding the Fourth Proportional to 10,674.78, 15,990.71 and 5,321.81

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Solution

The fourth proportional to 10,674.78, 15,990.71 and 5,321.81 is: 7,972.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,674.78 : 15,990.71 = 5,321.81 : x
  2. Step 2: Convert to fraction form
    10,674.78/15,990.71 = 5,321.81/x
  3. Step 3: Cross multiply
    10,674.78x = 15,990.71 × 5,321.81
  4. Step 4: Simplify right side
    10,674.78x = 85,099,440.43
  5. Step 5: Solve for x
    x = 85,099,440.43/10,674.78
  6. Step 6: Final answer
    x = 7,972.01

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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.