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Finding the Fourth Proportional to 7,627.01, 11,430.32 and 3,238.97

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Solution

The fourth proportional to 7,627.01, 11,430.32 and 3,238.97 is: 4,854.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,627.01 : 11,430.32 = 3,238.97 : x
  2. Step 2: Convert to fraction form
    7,627.01/11,430.32 = 3,238.97/x
  3. Step 3: Cross multiply
    7,627.01x = 11,430.32 × 3,238.97
  4. Step 4: Simplify right side
    7,627.01x = 37,022,390.22
  5. Step 5: Solve for x
    x = 37,022,390.22/7,627.01
  6. Step 6: Final answer
    x = 4,854.12

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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.