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Finding the Fourth Proportional to 11,405.94, 15,717.76 and 8,720.19

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Solution

The fourth proportional to 11,405.94, 15,717.76 and 8,720.19 is: 12,016.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,405.94 : 15,717.76 = 8,720.19 : x
  2. Step 2: Convert to fraction form
    11,405.94/15,717.76 = 8,720.19/x
  3. Step 3: Cross multiply
    11,405.94x = 15,717.76 × 8,720.19
  4. Step 4: Simplify right side
    11,405.94x = 137,061,880.82
  5. Step 5: Solve for x
    x = 137,061,880.82/11,405.94
  6. Step 6: Final answer
    x = 12,016.71

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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.