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Finding the Fourth Proportional to 10,418.19, 15,616.35 and 6,469.44

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Solution

The fourth proportional to 10,418.19, 15,616.35 and 6,469.44 is: 9,697.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,418.19 : 15,616.35 = 6,469.44 : x
  2. Step 2: Convert to fraction form
    10,418.19/15,616.35 = 6,469.44/x
  3. Step 3: Cross multiply
    10,418.19x = 15,616.35 × 6,469.44
  4. Step 4: Simplify right side
    10,418.19x = 101,029,039.34
  5. Step 5: Solve for x
    x = 101,029,039.34/10,418.19
  6. Step 6: Final answer
    x = 9,697.37

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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.