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Finding the Fourth Proportional to 11,504.67, 15,876.50 and 6,469.10

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Solution

The fourth proportional to 11,504.67, 15,876.50 and 6,469.10 is: 8,927.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,504.67 : 15,876.50 = 6,469.10 : x
  2. Step 2: Convert to fraction form
    11,504.67/15,876.50 = 6,469.10/x
  3. Step 3: Cross multiply
    11,504.67x = 15,876.50 × 6,469.10
  4. Step 4: Simplify right side
    11,504.67x = 102,706,554.42
  5. Step 5: Solve for x
    x = 102,706,554.42/11,504.67
  6. Step 6: Final answer
    x = 8,927.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.