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Finding the Fourth Proportional to 8,605.50, 11,876.80 and 5,021.64

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Solution

The fourth proportional to 8,605.50, 11,876.80 and 5,021.64 is: 6,930.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,605.50 : 11,876.80 = 5,021.64 : x
  2. Step 2: Convert to fraction form
    8,605.50/11,876.80 = 5,021.64/x
  3. Step 3: Cross multiply
    8,605.50x = 11,876.80 × 5,021.64
  4. Step 4: Simplify right side
    8,605.50x = 59,641,013.95
  5. Step 5: Solve for x
    x = 59,641,013.95/8,605.50
  6. Step 6: Final answer
    x = 6,930.57

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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.