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Finding the Fourth Proportional to 11,242.48, 16,868.10 and 4,667

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Solution

The fourth proportional to 11,242.48, 16,868.10 and 4,667 is: 7,002.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,242.48 : 16,868.10 = 4,667 : x
  2. Step 2: Convert to fraction form
    11,242.48/16,868.10 = 4,667/x
  3. Step 3: Cross multiply
    11,242.48x = 16,868.10 × 4,667
  4. Step 4: Simplify right side
    11,242.48x = 78,723,422.70
  5. Step 5: Solve for x
    x = 78,723,422.70/11,242.48
  6. Step 6: Final answer
    x = 7,002.32

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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.