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Finding the Fourth Proportional to 11,515.71, 17,207.99 and 8,647.49

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Solution

The fourth proportional to 11,515.71, 17,207.99 and 8,647.49 is: 12,921.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,515.71 : 17,207.99 = 8,647.49 : x
  2. Step 2: Convert to fraction form
    11,515.71/17,207.99 = 8,647.49/x
  3. Step 3: Cross multiply
    11,515.71x = 17,207.99 × 8,647.49
  4. Step 4: Simplify right side
    11,515.71x = 148,805,921.45
  5. Step 5: Solve for x
    x = 148,805,921.45/11,515.71
  6. Step 6: Final answer
    x = 12,921.99

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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.