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Finding the Fourth Proportional to 10,324.26, 14,232.48 and 7,631.52

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Solution

The fourth proportional to 10,324.26, 14,232.48 and 7,631.52 is: 10,520.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,324.26 : 14,232.48 = 7,631.52 : x
  2. Step 2: Convert to fraction form
    10,324.26/14,232.48 = 7,631.52/x
  3. Step 3: Cross multiply
    10,324.26x = 14,232.48 × 7,631.52
  4. Step 4: Simplify right side
    10,324.26x = 108,615,455.77
  5. Step 5: Solve for x
    x = 108,615,455.77/10,324.26
  6. Step 6: Final answer
    x = 10,520.41

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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.