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Finding the Fourth Proportional to 10,022.44, 15,019.98 and 5,853.64

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Solution

The fourth proportional to 10,022.44, 15,019.98 and 5,853.64 is: 8,772.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,022.44 : 15,019.98 = 5,853.64 : x
  2. Step 2: Convert to fraction form
    10,022.44/15,019.98 = 5,853.64/x
  3. Step 3: Cross multiply
    10,022.44x = 15,019.98 × 5,853.64
  4. Step 4: Simplify right side
    10,022.44x = 87,921,555.73
  5. Step 5: Solve for x
    x = 87,921,555.73/10,022.44
  6. Step 6: Final answer
    x = 8,772.47

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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.