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Finding the Fourth Proportional to 10,234.05, 15,323.73 and 6,516.15

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Solution

The fourth proportional to 10,234.05, 15,323.73 and 6,516.15 is: 9,756.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,234.05 : 15,323.73 = 6,516.15 : x
  2. Step 2: Convert to fraction form
    10,234.05/15,323.73 = 6,516.15/x
  3. Step 3: Cross multiply
    10,234.05x = 15,323.73 × 6,516.15
  4. Step 4: Simplify right side
    10,234.05x = 99,851,723.24
  5. Step 5: Solve for x
    x = 99,851,723.24/10,234.05
  6. Step 6: Final answer
    x = 9,756.81

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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.