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Finding the Fourth Proportional to 10,924.57, 16,387.92 and 4,349.22

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Solution

The fourth proportional to 10,924.57, 16,387.92 and 4,349.22 is: 6,524.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,924.57 : 16,387.92 = 4,349.22 : x
  2. Step 2: Convert to fraction form
    10,924.57/16,387.92 = 4,349.22/x
  3. Step 3: Cross multiply
    10,924.57x = 16,387.92 × 4,349.22
  4. Step 4: Simplify right side
    10,924.57x = 71,274,669.42
  5. Step 5: Solve for x
    x = 71,274,669.42/10,924.57
  6. Step 6: Final answer
    x = 6,524.25

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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.