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Finding the Fourth Proportional to 11,618.46, 16,035.12 and 7,371.72

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Solution

The fourth proportional to 11,618.46, 16,035.12 and 7,371.72 is: 10,174.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,618.46 : 16,035.12 = 7,371.72 : x
  2. Step 2: Convert to fraction form
    11,618.46/16,035.12 = 7,371.72/x
  3. Step 3: Cross multiply
    11,618.46x = 16,035.12 × 7,371.72
  4. Step 4: Simplify right side
    11,618.46x = 118,206,414.81
  5. Step 5: Solve for x
    x = 118,206,414.81/11,618.46
  6. Step 6: Final answer
    x = 10,174.02

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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.