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Finding the Fourth Proportional to 8,578.45, 11,837.26 and 4,801.82

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Solution

The fourth proportional to 8,578.45, 11,837.26 and 4,801.82 is: 6,625.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,578.45 : 11,837.26 = 4,801.82 : x
  2. Step 2: Convert to fraction form
    8,578.45/11,837.26 = 4,801.82/x
  3. Step 3: Cross multiply
    8,578.45x = 11,837.26 × 4,801.82
  4. Step 4: Simplify right side
    8,578.45x = 56,840,409.40
  5. Step 5: Solve for x
    x = 56,840,409.40/8,578.45
  6. Step 6: Final answer
    x = 6,625.96

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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.