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Finding the Fourth Proportional to 11,165.67, 15,409.40 and 7,382.26

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Solution

The fourth proportional to 11,165.67, 15,409.40 and 7,382.26 is: 10,188.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,165.67 : 15,409.40 = 7,382.26 : x
  2. Step 2: Convert to fraction form
    11,165.67/15,409.40 = 7,382.26/x
  3. Step 3: Cross multiply
    11,165.67x = 15,409.40 × 7,382.26
  4. Step 4: Simplify right side
    11,165.67x = 113,756,177.18
  5. Step 5: Solve for x
    x = 113,756,177.18/11,165.67
  6. Step 6: Final answer
    x = 10,188.03

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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.