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Finding the Fourth Proportional to 11,506.41, 17,175.49 and 10,661.31

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Solution

The fourth proportional to 11,506.41, 17,175.49 and 10,661.31 is: 15,914.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,506.41 : 17,175.49 = 10,661.31 : x
  2. Step 2: Convert to fraction form
    11,506.41/17,175.49 = 10,661.31/x
  3. Step 3: Cross multiply
    11,506.41x = 17,175.49 × 10,661.31
  4. Step 4: Simplify right side
    11,506.41x = 183,113,196.64
  5. Step 5: Solve for x
    x = 183,113,196.64/11,506.41
  6. Step 6: Final answer
    x = 15,914.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.