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Finding the Fourth Proportional to 11,756.94, 16,223.49 and 6,451.62

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Solution

The fourth proportional to 11,756.94, 16,223.49 and 6,451.62 is: 8,902.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,756.94 : 16,223.49 = 6,451.62 : x
  2. Step 2: Convert to fraction form
    11,756.94/16,223.49 = 6,451.62/x
  3. Step 3: Cross multiply
    11,756.94x = 16,223.49 × 6,451.62
  4. Step 4: Simplify right side
    11,756.94x = 104,667,792.55
  5. Step 5: Solve for x
    x = 104,667,792.55/11,756.94
  6. Step 6: Final answer
    x = 8,902.64

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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.