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Finding the Fourth Proportional to 7,458.31, 11,231.86 and 6,496.03

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Solution

The fourth proportional to 7,458.31, 11,231.86 and 6,496.03 is: 9,782.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,458.31 : 11,231.86 = 6,496.03 : x
  2. Step 2: Convert to fraction form
    7,458.31/11,231.86 = 6,496.03/x
  3. Step 3: Cross multiply
    7,458.31x = 11,231.86 × 6,496.03
  4. Step 4: Simplify right side
    7,458.31x = 72,962,499.52
  5. Step 5: Solve for x
    x = 72,962,499.52/7,458.31
  6. Step 6: Final answer
    x = 9,782.71

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.