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Finding the Fourth Proportional to 10,924.04, 16,384.46 and 5,375.90

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Solution

The fourth proportional to 10,924.04, 16,384.46 and 5,375.90 is: 8,063.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,924.04 : 16,384.46 = 5,375.90 : x
  2. Step 2: Convert to fraction form
    10,924.04/16,384.46 = 5,375.90/x
  3. Step 3: Cross multiply
    10,924.04x = 16,384.46 × 5,375.90
  4. Step 4: Simplify right side
    10,924.04x = 88,081,109.71
  5. Step 5: Solve for x
    x = 88,081,109.71/10,924.04
  6. Step 6: Final answer
    x = 8,063.06

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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.