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Finding the Fourth Proportional to 7,228.86, 10,832.31 and 5,371.32

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Solution

The fourth proportional to 7,228.86, 10,832.31 and 5,371.32 is: 8,048.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,228.86 : 10,832.31 = 5,371.32 : x
  2. Step 2: Convert to fraction form
    7,228.86/10,832.31 = 5,371.32/x
  3. Step 3: Cross multiply
    7,228.86x = 10,832.31 × 5,371.32
  4. Step 4: Simplify right side
    7,228.86x = 58,183,803.35
  5. Step 5: Solve for x
    x = 58,183,803.35/7,228.86
  6. Step 6: Final answer
    x = 8,048.82

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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.