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Finding the Fourth Proportional to 8,436.57, 11,630.82 and 6,048.49

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Solution

The fourth proportional to 8,436.57, 11,630.82 and 6,048.49 is: 8,338.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,436.57 : 11,630.82 = 6,048.49 : x
  2. Step 2: Convert to fraction form
    8,436.57/11,630.82 = 6,048.49/x
  3. Step 3: Cross multiply
    8,436.57x = 11,630.82 × 6,048.49
  4. Step 4: Simplify right side
    8,436.57x = 70,348,840.31
  5. Step 5: Solve for x
    x = 70,348,840.31/8,436.57
  6. Step 6: Final answer
    x = 8,338.56

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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.