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Finding the Fourth Proportional to 11,680.54, 17,511.51 and 6,744.58

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Solution

The fourth proportional to 11,680.54, 17,511.51 and 6,744.58 is: 10,111.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,680.54 : 17,511.51 = 6,744.58 : x
  2. Step 2: Convert to fraction form
    11,680.54/17,511.51 = 6,744.58/x
  3. Step 3: Cross multiply
    11,680.54x = 17,511.51 × 6,744.58
  4. Step 4: Simplify right side
    11,680.54x = 118,107,780.12
  5. Step 5: Solve for x
    x = 118,107,780.12/11,680.54
  6. Step 6: Final answer
    x = 10,111.50

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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.