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Finding the Fourth Proportional to 12,118.14, 16,723.26 and 7,082.78

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Solution

The fourth proportional to 12,118.14, 16,723.26 and 7,082.78 is: 9,774.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,118.14 : 16,723.26 = 7,082.78 : x
  2. Step 2: Convert to fraction form
    12,118.14/16,723.26 = 7,082.78/x
  3. Step 3: Cross multiply
    12,118.14x = 16,723.26 × 7,082.78
  4. Step 4: Simplify right side
    12,118.14x = 118,447,087.85
  5. Step 5: Solve for x
    x = 118,447,087.85/12,118.14
  6. Step 6: Final answer
    x = 9,774.36

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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.