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Finding the Fourth Proportional to 7,617.40, 11,409.56 and 7,431.54

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Solution

The fourth proportional to 7,617.40, 11,409.56 and 7,431.54 is: 11,131.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,617.40 : 11,409.56 = 7,431.54 : x
  2. Step 2: Convert to fraction form
    7,617.40/11,409.56 = 7,431.54/x
  3. Step 3: Cross multiply
    7,617.40x = 11,409.56 × 7,431.54
  4. Step 4: Simplify right side
    7,617.40x = 84,790,601.52
  5. Step 5: Solve for x
    x = 84,790,601.52/7,617.40
  6. Step 6: Final answer
    x = 11,131.17

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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.