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Finding the Fourth Proportional to 12,064.68, 18,082.98 and 7,563.78

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Solution

The fourth proportional to 12,064.68, 18,082.98 and 7,563.78 is: 11,336.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,064.68 : 18,082.98 = 7,563.78 : x
  2. Step 2: Convert to fraction form
    12,064.68/18,082.98 = 7,563.78/x
  3. Step 3: Cross multiply
    12,064.68x = 18,082.98 × 7,563.78
  4. Step 4: Simplify right side
    12,064.68x = 136,775,682.46
  5. Step 5: Solve for x
    x = 136,775,682.46/12,064.68
  6. Step 6: Final answer
    x = 11,336.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.