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Finding the Fourth Proportional to 11,696.16, 17,549.64 and 5,121.48

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Solution

The fourth proportional to 11,696.16, 17,549.64 and 5,121.48 is: 7,684.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,696.16 : 17,549.64 = 5,121.48 : x
  2. Step 2: Convert to fraction form
    11,696.16/17,549.64 = 5,121.48/x
  3. Step 3: Cross multiply
    11,696.16x = 17,549.64 × 5,121.48
  4. Step 4: Simplify right side
    11,696.16x = 89,880,130.27
  5. Step 5: Solve for x
    x = 89,880,130.27/11,696.16
  6. Step 6: Final answer
    x = 7,684.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.