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Finding the Fourth Proportional to 10,324.02, 14,232.14 and 7,631.27

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Solution

The fourth proportional to 10,324.02, 14,232.14 and 7,631.27 is: 10,520.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,324.02 : 14,232.14 = 7,631.27 : x
  2. Step 2: Convert to fraction form
    10,324.02/14,232.14 = 7,631.27/x
  3. Step 3: Cross multiply
    10,324.02x = 14,232.14 × 7,631.27
  4. Step 4: Simplify right side
    10,324.02x = 108,609,231.86
  5. Step 5: Solve for x
    x = 108,609,231.86/10,324.02
  6. Step 6: Final answer
    x = 10,520.05

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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.