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Finding the Fourth Proportional to 8,082.70, 11,153.76 and 4,497.84

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Solution

The fourth proportional to 8,082.70, 11,153.76 and 4,497.84 is: 6,206.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,082.70 : 11,153.76 = 4,497.84 : x
  2. Step 2: Convert to fraction form
    8,082.70/11,153.76 = 4,497.84/x
  3. Step 3: Cross multiply
    8,082.70x = 11,153.76 × 4,497.84
  4. Step 4: Simplify right side
    8,082.70x = 50,167,827.88
  5. Step 5: Solve for x
    x = 50,167,827.88/8,082.70
  6. Step 6: Final answer
    x = 6,206.82

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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.