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Finding the Fourth Proportional to 10,577.52, 15,857.64 and 6,418.44

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Solution

The fourth proportional to 10,577.52, 15,857.64 and 6,418.44 is: 9,622.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,577.52 : 15,857.64 = 6,418.44 : x
  2. Step 2: Convert to fraction form
    10,577.52/15,857.64 = 6,418.44/x
  3. Step 3: Cross multiply
    10,577.52x = 15,857.64 × 6,418.44
  4. Step 4: Simplify right side
    10,577.52x = 101,781,310.88
  5. Step 5: Solve for x
    x = 101,781,310.88/10,577.52
  6. Step 6: Final answer
    x = 9,622.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.