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Finding the Fourth Proportional to 10,216.68, 15,324.96 and 5,772.33

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Solution

The fourth proportional to 10,216.68, 15,324.96 and 5,772.33 is: 8,658.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,216.68 : 15,324.96 = 5,772.33 : x
  2. Step 2: Convert to fraction form
    10,216.68/15,324.96 = 5,772.33/x
  3. Step 3: Cross multiply
    10,216.68x = 15,324.96 × 5,772.33
  4. Step 4: Simplify right side
    10,216.68x = 88,460,726.36
  5. Step 5: Solve for x
    x = 88,460,726.36/10,216.68
  6. Step 6: Final answer
    x = 8,658.46

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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.