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Finding the Fourth Proportional to 6,216.24, 8,577.42 and 3,563.16

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Solution

The fourth proportional to 6,216.24, 8,577.42 and 3,563.16 is: 4,916.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,216.24 : 8,577.42 = 3,563.16 : x
  2. Step 2: Convert to fraction form
    6,216.24/8,577.42 = 3,563.16/x
  3. Step 3: Cross multiply
    6,216.24x = 8,577.42 × 3,563.16
  4. Step 4: Simplify right side
    6,216.24x = 30,562,719.85
  5. Step 5: Solve for x
    x = 30,562,719.85/6,216.24
  6. Step 6: Final answer
    x = 4,916.59

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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.