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Finding the Fourth Proportional to 11,082.14, 15,307.94 and 8,216.68

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Solution

The fourth proportional to 11,082.14, 15,307.94 and 8,216.68 is: 11,349.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,082.14 : 15,307.94 = 8,216.68 : x
  2. Step 2: Convert to fraction form
    11,082.14/15,307.94 = 8,216.68/x
  3. Step 3: Cross multiply
    11,082.14x = 15,307.94 × 8,216.68
  4. Step 4: Simplify right side
    11,082.14x = 125,780,444.44
  5. Step 5: Solve for x
    x = 125,780,444.44/11,082.14
  6. Step 6: Final answer
    x = 11,349.83

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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.