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Finding the Fourth Proportional to 11,632.94, 17,446.33 and 5,057.63

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Solution

The fourth proportional to 11,632.94, 17,446.33 and 5,057.63 is: 7,585.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,632.94 : 17,446.33 = 5,057.63 : x
  2. Step 2: Convert to fraction form
    11,632.94/17,446.33 = 5,057.63/x
  3. Step 3: Cross multiply
    11,632.94x = 17,446.33 × 5,057.63
  4. Step 4: Simplify right side
    11,632.94x = 88,237,082.00
  5. Step 5: Solve for x
    x = 88,237,082.00/11,632.94
  6. Step 6: Final answer
    x = 7,585.11

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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.