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Finding the Fourth Proportional to 11,511.09, 15,880.76 and 7,260.57

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Solution

The fourth proportional to 11,511.09, 15,880.76 and 7,260.57 is: 10,016.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,511.09 : 15,880.76 = 7,260.57 : x
  2. Step 2: Convert to fraction form
    11,511.09/15,880.76 = 7,260.57/x
  3. Step 3: Cross multiply
    11,511.09x = 15,880.76 × 7,260.57
  4. Step 4: Simplify right side
    11,511.09x = 115,303,333.33
  5. Step 5: Solve for x
    x = 115,303,333.33/11,511.09
  6. Step 6: Final answer
    x = 10,016.72

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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.