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Finding the Fourth Proportional to 10,924.82, 16,388.30 and 4,349.47

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Solution

The fourth proportional to 10,924.82, 16,388.30 and 4,349.47 is: 6,524.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,924.82 : 16,388.30 = 4,349.47 : x
  2. Step 2: Convert to fraction form
    10,924.82/16,388.30 = 4,349.47/x
  3. Step 3: Cross multiply
    10,924.82x = 16,388.30 × 4,349.47
  4. Step 4: Simplify right side
    10,924.82x = 71,280,419.20
  5. Step 5: Solve for x
    x = 71,280,419.20/10,924.82
  6. Step 6: Final answer
    x = 6,524.63

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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.