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Finding the Fourth Proportional to 8,082.37, 11,152 and 4,724.54

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Solution

The fourth proportional to 8,082.37, 11,152 and 4,724.54 is: 6,518.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,082.37 : 11,152 = 4,724.54 : x
  2. Step 2: Convert to fraction form
    8,082.37/11,152 = 4,724.54/x
  3. Step 3: Cross multiply
    8,082.37x = 11,152 × 4,724.54
  4. Step 4: Simplify right side
    8,082.37x = 52,688,014.32
  5. Step 5: Solve for x
    x = 52,688,014.32/8,082.37
  6. Step 6: Final answer
    x = 6,518.88

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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.