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Finding the Fourth Proportional to 10,219.21, 15,321.04 and 5,285.71

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Solution

The fourth proportional to 10,219.21, 15,321.04 and 5,285.71 is: 7,924.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,219.21 : 15,321.04 = 5,285.71 : x
  2. Step 2: Convert to fraction form
    10,219.21/15,321.04 = 5,285.71/x
  3. Step 3: Cross multiply
    10,219.21x = 15,321.04 × 5,285.71
  4. Step 4: Simplify right side
    10,219.21x = 80,982,574.34
  5. Step 5: Solve for x
    x = 80,982,574.34/10,219.21
  6. Step 6: Final answer
    x = 7,924.54

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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.