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Finding the Fourth Proportional to 9,082.56, 12,533.82 and 5,254.10

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Solution

The fourth proportional to 9,082.56, 12,533.82 and 5,254.10 is: 7,250.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,082.56 : 12,533.82 = 5,254.10 : x
  2. Step 2: Convert to fraction form
    9,082.56/12,533.82 = 5,254.10/x
  3. Step 3: Cross multiply
    9,082.56x = 12,533.82 × 5,254.10
  4. Step 4: Simplify right side
    9,082.56x = 65,853,880.99
  5. Step 5: Solve for x
    x = 65,853,880.99/9,082.56
  6. Step 6: Final answer
    x = 7,250.59

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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.