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Finding the Fourth Proportional to 11,506.92, 17,274.23 and 7,797.90

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Solution

The fourth proportional to 11,506.92, 17,274.23 and 7,797.90 is: 11,706.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,506.92 : 17,274.23 = 7,797.90 : x
  2. Step 2: Convert to fraction form
    11,506.92/17,274.23 = 7,797.90/x
  3. Step 3: Cross multiply
    11,506.92x = 17,274.23 × 7,797.90
  4. Step 4: Simplify right side
    11,506.92x = 134,702,679.13
  5. Step 5: Solve for x
    x = 134,702,679.13/11,506.92
  6. Step 6: Final answer
    x = 11,706.23

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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.