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Finding the Fourth Proportional to 6,399.42, 8,832.36 and 5,083.20

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Solution

The fourth proportional to 6,399.42, 8,832.36 and 5,083.20 is: 7,015.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,399.42 : 8,832.36 = 5,083.20 : x
  2. Step 2: Convert to fraction form
    6,399.42/8,832.36 = 5,083.20/x
  3. Step 3: Cross multiply
    6,399.42x = 8,832.36 × 5,083.20
  4. Step 4: Simplify right side
    6,399.42x = 44,896,652.35
  5. Step 5: Solve for x
    x = 44,896,652.35/6,399.42
  6. Step 6: Final answer
    x = 7,015.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.