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Finding the Fourth Proportional to 10,624.68, 15,924.99 and 5,351.31

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Solution

The fourth proportional to 10,624.68, 15,924.99 and 5,351.31 is: 8,020.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,624.68 : 15,924.99 = 5,351.31 : x
  2. Step 2: Convert to fraction form
    10,624.68/15,924.99 = 5,351.31/x
  3. Step 3: Cross multiply
    10,624.68x = 15,924.99 × 5,351.31
  4. Step 4: Simplify right side
    10,624.68x = 85,219,558.24
  5. Step 5: Solve for x
    x = 85,219,558.24/10,624.68
  6. Step 6: Final answer
    x = 8,020.91

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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.