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Finding the Fourth Proportional to 7,876.50, 10,858.11 and 5,634.49

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Solution

The fourth proportional to 7,876.50, 10,858.11 and 5,634.49 is: 7,767.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,876.50 : 10,858.11 = 5,634.49 : x
  2. Step 2: Convert to fraction form
    7,876.50/10,858.11 = 5,634.49/x
  3. Step 3: Cross multiply
    7,876.50x = 10,858.11 × 5,634.49
  4. Step 4: Simplify right side
    7,876.50x = 61,179,893.38
  5. Step 5: Solve for x
    x = 61,179,893.38/7,876.50
  6. Step 6: Final answer
    x = 7,767.39

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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.