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Finding the Fourth Proportional to 11,313, 16,969.53 and 3,521.82

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Solution

The fourth proportional to 11,313, 16,969.53 and 3,521.82 is: 5,282.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,313 : 16,969.53 = 3,521.82 : x
  2. Step 2: Convert to fraction form
    11,313/16,969.53 = 3,521.82/x
  3. Step 3: Cross multiply
    11,313x = 16,969.53 × 3,521.82
  4. Step 4: Simplify right side
    11,313x = 59,763,630.14
  5. Step 5: Solve for x
    x = 59,763,630.14/11,313
  6. Step 6: Final answer
    x = 5,282.74

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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.