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Finding the Fourth Proportional to 11,307, 16,960.53 and 3,515.82

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Solution

The fourth proportional to 11,307, 16,960.53 and 3,515.82 is: 5,273.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,307 : 16,960.53 = 3,515.82 : x
  2. Step 2: Convert to fraction form
    11,307/16,960.53 = 3,515.82/x
  3. Step 3: Cross multiply
    11,307x = 16,960.53 × 3,515.82
  4. Step 4: Simplify right side
    11,307x = 59,630,170.58
  5. Step 5: Solve for x
    x = 59,630,170.58/11,307
  6. Step 6: Final answer
    x = 5,273.74

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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.